90250896718080 has 864 divisors, whose sum is σ = 358784752435200. Its totient is φ = 20518138626048.

The previous prime is 90250896718063. The next prime is 90250896718153. The reversal of 90250896718080 is 8081769805209.

It is a happy number.

90250896718080 is a `hidden beast` number, since 90 + 250 + 89 + 6 + 71 + 80 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 90250896717999 and 90250896718017.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20024603187 + ... + 20024607693.

Almost surely, 2^{90250896718080} is an apocalyptic number.

90250896718080 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 90250896718080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179392376217600).

90250896718080 is an abundant number, since it is smaller than the sum of its proper divisors (268533855717120).

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

90250896718080 is a wasteful number, since it uses less digits than its factorization.

90250896718080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5819 (or 5802 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 90250896718080 in words is "ninety trillion, two hundred fifty billion, eight hundred ninety-six million, seven hundred eighteen thousand, eighty".