90231569556480 has 396 divisors, whose sum is σ = 343656675379836. Its totient is φ = 21874318540800.

The previous prime is 90231569556379. The next prime is 90231569556613. The reversal of 90231569556480 is 8465596513209.

90231569556480 is a `hidden beast` number, since 9 + 0 + 2 + 3 + 1 + 5 + 69 + 5 + 564 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51321520521216 + 38910049035264 = 7163904^2 + 6237792^2 .

It is a tau number, because it is divible by the number of its divisors (396).

It is a super-2 number, since 2×90231569556480² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2515851 + ... + 13667210.

Almost surely, 2^{90231569556480} is an apocalyptic number.

90231569556480 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 90231569556480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171828337689918).

90231569556480 is an abundant number, since it is smaller than the sum of its proper divisors (253425105823356).

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

90231569556480 is a wasteful number, since it uses less digits than its factorization.

90231569556480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16183114 (or 16183082 counting only the distinct ones).

The product of its (nonzero) digits is 69984000, while the sum is 63.

The spelling of 90231569556480 in words is "ninety trillion, two hundred thirty-one billion, five hundred sixty-nine million, five hundred fifty-six thousand, four hundred eighty".