90932582754720 has 768 divisors, whose sum is σ = 397549729382400. Its totient is φ = 18930932858880.

The previous prime is 90932582754623. The next prime is 90932582754743. The reversal of 90932582754720 is 2745728523909.

90932582754720 is a `hidden beast` number, since 9 + 0 + 9 + 3 + 2 + 5 + 82 + 7 + 547 + 2 + 0 = 666.

It is a super-2 number, since 2×90932582754720² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13083511 + ... + 18789449.

It is an arithmetic number, because the mean of its divisors is an integer number (517642876800).

Almost surely, 2^{90932582754720} is an apocalyptic number.

90932582754720 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 90932582754720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198774864691200).

90932582754720 is an abundant number, since it is smaller than the sum of its proper divisors (306617146627680).

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

90932582754720 is a wasteful number, since it uses less digits than its factorization.

90932582754720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5706018 (or 5706004 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 90932582754720 in words is "ninety trillion, nine hundred thirty-two billion, five hundred eighty-two million, seven hundred fifty-four thousand, seven hundred twenty".