96615072000 has 576 divisors, whose sum is σ = 362101958400. Its totient is φ = 25364275200.

The previous prime is 96615071951. The next prime is 96615072017. The reversal of 96615072000 is 27051669.

96615072000 is a `hidden beast` number, since 96 + 61 + 507 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

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, 57887166 + ... + 57888834.

Almost surely, 2^96615072000 is an apocalyptic number.

96615072000 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 96615072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181050979200).

96615072000 is an abundant number, since it is smaller than the sum of its proper divisors (265486886400).

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

96615072000 is a wasteful number, since it uses less digits than its factorization.

96615072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 96615072000 in words is "ninety-six billion, six hundred fifteen million, seventy-two thousand".