90132624000 has 768 divisors, whose sum is σ = 340633912320. Its totient is φ = 22809600000.

The previous prime is 90132623927. The next prime is 90132624013. The reversal of 90132624000 is 42623109.

90132624000 is a `hidden beast` number, since 9 + 0 + 1 + 32 + 624 + 0 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 272303835 + ... + 272304165.

It is an arithmetic number, because the mean of its divisors is an integer number (443533740).

Almost surely, 2^90132624000 is an apocalyptic number.

90132624000 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 90132624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170316956160).

90132624000 is an abundant number, since it is smaller than the sum of its proper divisors (250501288320).

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

90132624000 is a wasteful number, since it uses less digits than its factorization.

90132624000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 90132624000 in words is "ninety billion, one hundred thirty-two million, six hundred twenty-four thousand".