85806957935520 has 144 divisors (see below), whose sum is σ = 293477230886112. Its totient is φ = 22830203235840.

The previous prime is 85806957935453. The next prime is 85806957935551. The reversal of 85806957935520 is 2553975960858.

85806957935520 is a `hidden beast` number, since 8 + 5 + 8 + 0 + 6 + 9 + 5 + 7 + 93 + 5 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×85806957935520³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66617346 + ... + 67893185.

It is an arithmetic number, because the mean of its divisors is an integer number (2038036325598).

Almost surely, 2^{85806957935520} is an apocalyptic number.

85806957935520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85806957935520 is an abundant number, since it is smaller than the sum of its proper divisors (207670272950592).

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

85806957935520 is a wasteful number, since it uses less digits than its factorization.

85806957935520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134510995 (or 134510984 counting only the distinct ones).

The product of its (nonzero) digits is 816480000, while the sum is 72.

The spelling of 85806957935520 in words is "eighty-five trillion, eight hundred six billion, nine hundred fifty-seven million, nine hundred thirty-five thousand, five hundred twenty".