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85520155163520 = 273571117193797499
BaseRepresentation
bin10011011100011110110110…
…011110000011101110000000
3102012210122110122200020212110
4103130132312132003232000
542202130234210213040
6501515230015255320
724004425111612630
oct2334366636035600
9365718418606773
1085520155163520
11252819920a1830
129712466b1a540
1338946929380bc
1417192aa2b66c0
159d4897458980
hex4dc7b6783b80

85520155163520 has 4096 divisors, whose sum is σ = 393826406400000. Its totient is φ = 15227085127680.

The previous prime is 85520155163489. The next prime is 85520155163567. The reversal of 85520155163520 is 2536155102558.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 85520155163520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 171383076231 + ... + 171383076729.

It is an arithmetic number, because the mean of its divisors is an integer number (96149025000).

Almost surely, 285520155163520 is an apocalyptic number.

85520155163520 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 85520155163520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196913203200000).

85520155163520 is an abundant number, since it is smaller than the sum of its proper divisors (308306251236480).

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

85520155163520 is a wasteful number, since it uses less digits than its factorization.

85520155163520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 1800000, while the sum is 48.

The spelling of 85520155163520 in words is "eighty-five trillion, five hundred twenty billion, one hundred fifty-five million, one hundred sixty-three thousand, five hundred twenty".