90914187009960 has 256 divisors, whose sum is σ = 308034582739200. Its totient is φ = 23844849638400.

The previous prime is 90914187009941. The next prime is 90914187010019. The reversal of 90914187009960 is 6990078141909.

90914187009960 is a `hidden beast` number, since 9 + 0 + 9 + 1 + 418 + 70 + 0 + 99 + 60 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1390496470 + ... + 1390561850.

It is an arithmetic number, because the mean of its divisors is an integer number (1203260088825).

Almost surely, 2^{90914187009960} is an apocalyptic number.

90914187009960 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 90914187009960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154017291369600).

90914187009960 is an abundant number, since it is smaller than the sum of its proper divisors (217120395729240).

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

90914187009960 is a wasteful number, since it uses less digits than its factorization.

90914187009960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86569 (or 86559 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 63.

The spelling of 90914187009960 in words is "ninety trillion, nine hundred fourteen billion, one hundred eighty-seven million, nine thousand, nine hundred sixty".