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85521885480 = 23335112970139
BaseRepresentation
bin100111110100110000…
…0000110100100101000
322011202011111220212000
41033221200012210220
52400122100313410
6103142130451000
76115212014043
oct1175140064450
9264664456760
1085521885480
11332a69693a9
12146a9133a60
1380ac13c185
1441d428bc5a
152358162dc0
hex13e9806928

85521885480 has 128 divisors (see below), whose sum is σ = 285329520000. Its totient is φ = 22785311232.

The previous prime is 85521885467. The next prime is 85521885487. The reversal of 85521885480 is 8458812558.

85521885480 is a `hidden beast` number, since 8 + 552 + 1 + 8 + 8 + 5 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (85521885487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1184251 + ... + 1254389.

It is an arithmetic number, because the mean of its divisors is an integer number (2229136875).

Almost surely, 285521885480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85521885480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142664760000).

85521885480 is an abundant number, since it is smaller than the sum of its proper divisors (199807634520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85521885480 is a wasteful number, since it uses less digits than its factorization.

85521885480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71288 (or 71278 counting only the distinct ones).

The product of its (nonzero) digits is 4096000, while the sum is 54.

The spelling of 85521885480 in words is "eighty-five billion, five hundred twenty-one million, eight hundred eighty-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 1129 2258 3387 4516 5645 6774 9032 10161 11290 13548 16935 20322 22580 27096 30483 33870 40644 45160 50805 60966 67740 70139 81288 101610 121932 135480 140278 152415 203220 210417 243864 280556 304830 350695 406440 420834 561112 609660 631251 701390 841668 1052085 1219320 1262502 1402780 1683336 1893753 2104170 2525004 2805560 3156255 3787506 4208340 5050008 6312510 7575012 8416680 9468765 12625020 15150024 18937530 25250040 37875060 75750120 79186931 158373862 237560793 316747724 395934655 475121586 633495448 712682379 791869310 950243172 1187803965 1425364758 1583738620 1900486344 2138047137 2375607930 2850729516 3167477240 3563411895 4276094274 4751215860 5701459032 7126823790 8552188548 9502431720 10690235685 14253647580 17104377096 21380471370 28507295160 42760942740 85521885480