96072960000 has 480 divisors, whose sum is σ = 324220216320. Its totient is φ = 25288704000.

The previous prime is 96072959953. The next prime is 96072960023. The reversal of 96072960000 is 6927069.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 487679902 + ... + 487680098.

It is an arithmetic number, because the mean of its divisors is an integer number (675458784).

Almost surely, 2^96072960000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96072960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162110108160).

96072960000 is an abundant number, since it is smaller than the sum of its proper divisors (228147256320).

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

96072960000 is a wasteful number, since it uses less digits than its factorization.

96072960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The spelling of 96072960000 in words is "ninety-six billion, seventy-two million, nine hundred sixty thousand".