90617978880 has 1120 divisors, whose sum is σ = 383654734848. Its totient is φ = 20171980800.

The previous prime is 90617978863. The next prime is 90617978917. The reversal of 90617978880 is 8887971609.

90617978880 is a `hidden beast` number, since 9 + 0 + 617 + 9 + 7 + 8 + 8 + 8 + 0 = 666.

It is a super-2 number, since 2×90617978880² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 474439585 + ... + 474439775.

Almost surely, 2^90617978880 is an apocalyptic number.

90617978880 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 90617978880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191827367424).

90617978880 is an abundant number, since it is smaller than the sum of its proper divisors (293036755968).

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

90617978880 is a wasteful number, since it uses less digits than its factorization.

90617978880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 63.

The spelling of 90617978880 in words is "ninety billion, six hundred seventeen million, nine hundred seventy-eight thousand, eight hundred eighty".