85604725589292 has 1152 divisors, whose sum is σ = 287988965376000. Its totient is φ = 21849482930688.

The previous prime is 85604725589263. The next prime is 85604725589293. The reversal of 85604725589292 is 29298552740658.

It is a happy number.

85604725589292 is a `hidden beast` number, since 8 + 5 + 6 + 0 + 4 + 7 + 255 + 89 + 292 = 666.

It is a super-2 number, since 2×85604725589292² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 85604725589292.

It is not an unprimeable number, because it can be changed into a prime (85604725589293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 113084181378 + ... + 113084182134.

Almost surely, 2^{85604725589292} 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 85604725589292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143994482688000).

85604725589292 is an abundant number, since it is smaller than the sum of its proper divisors (202384239786708).

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

85604725589292 is a wasteful number, since it uses less digits than its factorization.

85604725589292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 870912000, while the sum is 72.

The spelling of 85604725589292 in words is "eighty-five trillion, six hundred four billion, seven hundred twenty-five million, five hundred eighty-nine thousand, two hundred ninety-two".