90609393661920 has 384 divisors, whose sum is σ = 370866360775680. Its totient is φ = 20229073643520.

The previous prime is 90609393661859. The next prime is 90609393661931. The reversal of 90609393661920 is 2916639390609.

90609393661920 is a `hidden beast` number, since 9 + 0 + 6 + 0 + 9 + 3 + 9 + 3 + 6 + 619 + 2 + 0 = 666.

90609393661920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33540871 + ... + 36141510.

It is an arithmetic number, because the mean of its divisors is an integer number (965797814520).

Almost surely, 2^{90609393661920} is an apocalyptic number.

90609393661920 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90609393661920 is an abundant number, since it is smaller than the sum of its proper divisors (280256967113760).

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

90609393661920 is a wasteful number, since it uses less digits than its factorization.

90609393661920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69682455 (or 69682441 counting only the distinct ones).

The product of its (nonzero) digits is 25509168, while the sum is 63.

The spelling of 90609393661920 in words is "ninety trillion, six hundred nine billion, three hundred ninety-three million, six hundred sixty-one thousand, nine hundred twenty".