85508815392 has 1152 divisors, whose sum is σ = 350298224640. Its totient is φ = 19050577920.

The previous prime is 85508815391. The next prime is 85508815439. The reversal of 85508815392 is 29351880558.

It is a happy number.

85508815392 is a `hidden beast` number, since 8 + 5 + 508 + 81 + 53 + 9 + 2 = 666.

It is a super-2 number, since 2×85508815392² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85508815391) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 366990508 + ... + 366990740.

It is an arithmetic number, because the mean of its divisors is an integer number (304078320).

Almost surely, 2^85508815392 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 85508815392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175149112320).

85508815392 is an abundant number, since it is smaller than the sum of its proper divisors (264789409248).

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

85508815392 is a wasteful number, since it uses less digits than its factorization.

85508815392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 54.

The spelling of 85508815392 in words is "eighty-five billion, five hundred eight million, eight hundred fifteen thousand, three hundred ninety-two".