90131932800 has 1728 divisors, whose sum is σ = 428073773400. Its totient is φ = 17898209280.

The previous prime is 90131932777. The next prime is 90131932831. The reversal of 90131932800 is 823913109.

It can be written as a sum of positive squares in 12 ways, for example, as 1008189504 + 89123743296 = 31752^2 + 298536^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5301878392 + ... + 5301878408.

Almost surely, 2^90131932800 is an apocalyptic number.

90131932800 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 90131932800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214036886700).

90131932800 is an abundant number, since it is smaller than the sum of its proper divisors (337941840600).

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

90131932800 is a wasteful number, since it uses less digits than its factorization.

90131932800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 90131932800 in words is "ninety billion, one hundred thirty-one million, nine hundred thirty-two thousand, eight hundred".