96996031856640 has 1152 divisors, whose sum is σ = 406871437271040. Its totient is φ = 21454494105600.

The previous prime is 96996031856623. The next prime is 96996031856719. The reversal of 96996031856640 is 4665813069969.

96996031856640 is a `hidden beast` number, since 9 + 6 + 9 + 9 + 6 + 0 + 3 + 18 + 566 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 3839741610 + ... + 3839766870.

It is an arithmetic number, because the mean of its divisors is an integer number (353187011520).

Almost surely, 2^{96996031856640} is an apocalyptic number.

96996031856640 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 96996031856640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203435718635520).

96996031856640 is an abundant number, since it is smaller than the sum of its proper divisors (309875405414400).

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

96996031856640 is an equidigital number, since it uses as much as digits as its factorization.

96996031856640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25347 (or 25309 counting only the distinct ones).

The product of its (nonzero) digits is 453496320, while the sum is 72.

The spelling of 96996031856640 in words is "ninety-six trillion, nine hundred ninety-six billion, thirty-one million, eight hundred fifty-six thousand, six hundred forty".