85875973632 has 320 divisors, whose sum is σ = 267039336960. Its totient is φ = 27196342272.

The previous prime is 85875973613. The next prime is 85875973679. The reversal of 85875973632 is 23637957858.

85875973632 is a `hidden beast` number, since 8 + 5 + 8 + 7 + 597 + 3 + 6 + 32 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 85875973632.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51825348 + ... + 51827004.

It is an arithmetic number, because the mean of its divisors is an integer number (834497928).

Almost surely, 2^85875973632 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 85875973632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133519668480).

85875973632 is an abundant number, since it is smaller than the sum of its proper divisors (181163363328).

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

85875973632 is a wasteful number, since it uses less digits than its factorization.

85875973632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1870 (or 1848 counting only the distinct ones).

The product of its digits is 76204800, while the sum is 63.

The spelling of 85875973632 in words is "eighty-five billion, eight hundred seventy-five million, nine hundred seventy-three thousand, six hundred thirty-two".