90180874929600 has 10752 divisors, whose sum is σ = 487648788480000. Its totient is φ = 15651333734400.

The previous prime is 90180874929487. The next prime is 90180874929637. The reversal of 90180874929600 is 692947808109.

90180874929600 is a `hidden beast` number, since 9 + 0 + 1 + 8 + 0 + 87 + 492 + 9 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1535 ways as a sum of consecutive naturals, for example, 1141530062361 + ... + 1141530062439.

It is an arithmetic number, because the mean of its divisors is an integer number (45354240000).

Almost surely, 2^{90180874929600} is an apocalyptic number.

90180874929600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90180874929600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243824394240000).

90180874929600 is an abundant number, since it is smaller than the sum of its proper divisors (397467913550400).

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

90180874929600 is a wasteful number, since it uses less digits than its factorization.

90180874929600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 90180874929600 in words is "ninety trillion, one hundred eighty billion, eight hundred seventy-four million, nine hundred twenty-nine thousand, six hundred".