96931399680 has 768 divisors, whose sum is σ = 374470387200. Its totient is φ = 23687331840.

The previous prime is 96931399667. The next prime is 96931399693. The reversal of 96931399680 is 8699313969.

It is an interprime number because it is at equal distance from previous prime (96931399667) and next prime (96931399693).

It is a tau number, because it is divible by the number of its divisors (768).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 192706309 + ... + 192706811.

It is an arithmetic number, because the mean of its divisors is an integer number (487591650).

Almost surely, 2^96931399680 is an apocalyptic number.

96931399680 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 96931399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187235193600).

96931399680 is an abundant number, since it is smaller than the sum of its proper divisors (277538987520).

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

96931399680 is a wasteful number, since it uses less digits than its factorization.

96931399680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 17006112, while the sum is 63.

The spelling of 96931399680 in words is "ninety-six billion, nine hundred thirty-one million, three hundred ninety-nine thousand, six hundred eighty".