90980804880 has 800 divisors, whose sum is σ = 373609480320. Its totient is φ = 20341601280.

The previous prime is 90980804879. The next prime is 90980804897. The reversal of 90980804880 is 8840808909.

90980804880 is a `hidden beast` number, since 9 + 0 + 9 + 80 + 80 + 488 + 0 = 666.

It is a super-2 number, since 2×90980804880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 274866315 + ... + 274866645.

Almost surely, 2^90980804880 is an apocalyptic number.

90980804880 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 90980804880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186804740160).

90980804880 is an abundant number, since it is smaller than the sum of its proper divisors (282628675440).

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

90980804880 is a wasteful number, since it uses less digits than its factorization.

90980804880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 90980804880 in words is "ninety billion, nine hundred eighty million, eight hundred four thousand, eight hundred eighty".