85749517056 has 288 divisors, whose sum is σ = 277735449600. Its totient is φ = 23432994816.

The previous prime is 85749516977. The next prime is 85749517057. The reversal of 85749517056 is 65071594758.

It is a junction number, because it is equal to n+sod(n) for n = 85749516987 and 85749517005.

It is not an unprimeable number, because it can be changed into a prime (85749517057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6051676 + ... + 6065828.

It is an arithmetic number, because the mean of its divisors is an integer number (964359200).

Almost surely, 2^85749517056 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 85749517056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138867724800).

85749517056 is an abundant number, since it is smaller than the sum of its proper divisors (191985932544).

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

85749517056 is a wasteful number, since it uses less digits than its factorization.

85749517056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14216 (or 14188 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 57.

The spelling of 85749517056 in words is "eighty-five billion, seven hundred forty-nine million, five hundred seventeen thousand, fifty-six".