85932916608 has 768 divisors, whose sum is σ = 305416396800. Its totient is φ = 21140582400.

The previous prime is 85932916579. The next prime is 85932916651. The reversal of 85932916608 is 80661923958.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 378558991 + ... + 378559217.

It is an arithmetic number, because the mean of its divisors is an integer number (397677600).

Almost surely, 2^85932916608 is an apocalyptic number.

85932916608 is a gapful number since it is divisible by the number (88) 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 85932916608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152708198400).

85932916608 is an abundant number, since it is smaller than the sum of its proper divisors (219483480192).

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

85932916608 is a wasteful number, since it uses less digits than its factorization.

85932916608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 57.

The spelling of 85932916608 in words is "eighty-five billion, nine hundred thirty-two million, nine hundred sixteen thousand, six hundred eight".