85860508032 has 576 divisors, whose sum is σ = 285290438160. Its totient is φ = 25545093120.

The previous prime is 85860508009. The next prime is 85860508051. The reversal of 85860508032 is 23080506858.

It is a happy number.

85860508032 is a `hidden beast` number, since 8 + 5 + 8 + 605 + 0 + 8 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1407549282 + ... + 1407549342.

Almost surely, 2^85860508032 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 85860508032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142645219080).

85860508032 is an abundant number, since it is smaller than the sum of its proper divisors (199429930128).

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

85860508032 is an equidigital number, since it uses as much as digits as its factorization.

85860508032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 85860508032 in words is "eighty-five billion, eight hundred sixty million, five hundred eight thousand, thirty-two".