90910032480 has 336 divisors, whose sum is σ = 322755904800. Its totient is φ = 24186968064.

The previous prime is 90910032463. The next prime is 90910032511. The reversal of 90910032480 is 8423001909.

90910032480 is a `hidden beast` number, since 90 + 91 + 0 + 0 + 3 + 2 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 86662996 + ... + 86664044.

It is an arithmetic number, because the mean of its divisors is an integer number (960583050).

Almost surely, 2^90910032480 is an apocalyptic number.

90910032480 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 90910032480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161377952400).

90910032480 is an abundant number, since it is smaller than the sum of its proper divisors (231845872320).

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

90910032480 is a wasteful number, since it uses less digits than its factorization.

90910032480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 90910032480 in words is "ninety billion, nine hundred ten million, thirty-two thousand, four hundred eighty".