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85328088880 = 24543167148531
BaseRepresentation
bin100111101110111110…
…0110100111100110000
322011020122212000220011
41033131330310330300
52344222442321010
6103111005024304
76110336534266
oct1173574647460
9264218760804
1085328088880
1133207533121
1214654255094
13807ac47628
1441b6642436
152346131a8a
hex13ddf34f30

85328088880 has 80 divisors (see below), whose sum is σ = 204218429184. Its totient is φ = 33137637120.

The previous prime is 85328088871. The next prime is 85328088919. The reversal of 85328088880 is 8888082358.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 500215 + ... + 648745.

Almost surely, 285328088880 is an apocalyptic number.

85328088880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85328088880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102109214592).

85328088880 is an abundant number, since it is smaller than the sum of its proper divisors (118890340304).

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

85328088880 is a wasteful number, since it uses less digits than its factorization.

85328088880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148754 (or 148748 counting only the distinct ones).

The product of its (nonzero) digits is 7864320, while the sum is 58.

The spelling of 85328088880 in words is "eighty-five billion, three hundred twenty-eight million, eighty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 167 172 215 334 344 430 668 688 835 860 1336 1670 1720 2672 3340 3440 6680 7181 13360 14362 28724 35905 57448 71810 114896 143620 148531 287240 297062 574480 594124 742655 1188248 1485310 2376496 2970620 5941240 6386833 11882480 12773666 24804677 25547332 31934165 49609354 51094664 63868330 99218708 102189328 124023385 127736660 198437416 248046770 255473320 396874832 496093540 510946640 992187080 1066601111 1984374160 2133202222 4266404444 5333005555 8532808888 10666011110 17065617776 21332022220 42664044440 85328088880