90040924512 has 1152 divisors, whose sum is σ = 351783936000. Its totient is φ = 22632825600.

The previous prime is 90040924483. The next prime is 90040924549. The reversal of 90040924512 is 21542904009.

90040924512 is a `hidden beast` number, since 9 + 0 + 0 + 409 + 245 + 1 + 2 = 666.

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 191 ways as a sum of consecutive naturals, for example, 2904545937 + ... + 2904545967.

It is an arithmetic number, because the mean of its divisors is an integer number (305368000).

Almost surely, 2^90040924512 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 90040924512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175891968000).

90040924512 is an abundant number, since it is smaller than the sum of its proper divisors (261743011488).

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

90040924512 is an equidigital number, since it uses as much as digits as its factorization.

90040924512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 90040924512 in words is "ninety billion, forty million, nine hundred twenty-four thousand, five hundred twelve".