96931392480 has 576 divisors, whose sum is σ = 363949552512. Its totient is φ = 23348183040.

The previous prime is 96931392469. The next prime is 96931392511. The reversal of 96931392480 is 8429313969.

96931392480 is a `hidden beast` number, since 9 + 69 + 3 + 13 + 92 + 480 = 666.

It is a super-2 number, since 2×96931392480² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 309684804 + ... + 309685116.

It is an arithmetic number, because the mean of its divisors is an integer number (631856862).

Almost surely, 2^96931392480 is an apocalyptic number.

96931392480 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 96931392480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181974776256).

96931392480 is an abundant number, since it is smaller than the sum of its proper divisors (267018160032).

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

96931392480 is a wasteful number, since it uses less digits than its factorization.

96931392480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 96931392480 in words is "ninety-six billion, nine hundred thirty-one million, three hundred ninety-two thousand, four hundred eighty".