85938891325056 has 3072 divisors, whose sum is σ = 354113438515200. Its totient is φ = 20060258549760.

The previous prime is 85938891325013. The next prime is 85938891325061. The reversal of 85938891325056 is 65052319883958.

85938891325056 is a `hidden beast` number, since 8 + 5 + 9 + 3 + 8 + 89 + 1 + 32 + 505 + 6 = 666.

It is a super-2 number, since 2×85938891325056² (a number of 29 digits) contains 22 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 383 ways as a sum of consecutive naturals, for example, 164319103611 + ... + 164319104133.

It is an arithmetic number, because the mean of its divisors is an integer number (115271301600).

Almost surely, 2^{85938891325056} 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 85938891325056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177056719257600).

85938891325056 is an abundant number, since it is smaller than the sum of its proper divisors (268174547190144).

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

85938891325056 is a wasteful number, since it uses less digits than its factorization.

85938891325056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 559872000, while the sum is 72.

The spelling of 85938891325056 in words is "eighty-five trillion, nine hundred thirty-eight billion, eight hundred ninety-one million, three hundred twenty-five thousand, fifty-six".