90879522624 has 504 divisors, whose sum is σ = 311802206976. Its totient is φ = 25067520000.

The previous prime is 90879522571. The next prime is 90879522637. The reversal of 90879522624 is 42622597809.

90879522624 is a `hidden beast` number, since 9 + 0 + 8 + 7 + 9 + 5 + 2 + 2 + 624 = 666.

It is a super-2 number, since 2×90879522624² (a number of 23 digits) contains 22 as substring.

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, 56763424 + ... + 56765024.

Almost surely, 2^90879522624 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 90879522624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155901103488).

90879522624 is an abundant number, since it is smaller than the sum of its proper divisors (220922684352).

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

90879522624 is a wasteful number, since it uses less digits than its factorization.

90879522624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 90879522624 in words is "ninety billion, eight hundred seventy-nine million, five hundred twenty-two thousand, six hundred twenty-four".