90976388264496 has 560 divisors, whose sum is σ = 309980391753024. Its totient is φ = 25316498128896.

The previous prime is 90976388264381. The next prime is 90976388264537. The reversal of 90976388264496 is 69446288367909.

90976388264496 is a `hidden beast` number, since 9 + 0 + 9 + 7 + 63 + 8 + 8 + 2 + 64 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 592769400 + ... + 592922856.

Almost surely, 2^{90976388264496} 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 90976388264496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154990195876512).

90976388264496 is an abundant number, since it is smaller than the sum of its proper divisors (219004003488528).

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

90976388264496 is a wasteful number, since it uses less digits than its factorization.

90976388264496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153680 (or 153659 counting only the distinct ones).

The product of its (nonzero) digits is 6772211712, while the sum is 81.

The spelling of 90976388264496 in words is "ninety trillion, nine hundred seventy-six billion, three hundred eighty-eight million, two hundred sixty-four thousand, four hundred ninety-six".