90915919880256 has 567 divisors, whose sum is σ = 272213422523679. Its totient is φ = 29011371158016.

The previous prime is 90915919880197. The next prime is 90915919880263. The reversal of 90915919880256 is 65208891951909.

The square root of 90915919880256 is 9534984.

It is a perfect power (a square), and thus also a powerful number.

90915919880256 is a `hidden beast` number, since 9 + 0 + 9 + 1 + 591 + 9 + 8 + 8 + 0 + 25 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 849681494155 + ... + 849681494261.

Almost surely, 2^{90915919880256} is an apocalyptic number.

90915919880256 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

90915919880256 is the 9534984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90915919880256

90915919880256 is an abundant number, since it is smaller than the sum of its proper divisors (181297502643423).

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

90915919880256 is an equidigital number, since it uses as much as digits as its factorization.

90915919880256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 125971200, while the sum is 72.

The spelling of 90915919880256 in words is "ninety trillion, nine hundred fifteen billion, nine hundred nineteen million, eight hundred eighty thousand, two hundred fifty-six".