96072496800 has 1296 divisors, whose sum is σ = 401738787072. Its totient is φ = 19856793600.

The previous prime is 96072496799. The next prime is 96072496801. The reversal of 96072496800 is 869427069.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (96072496799) and next prime (96072496801).

It is not an unprimeable number, because it can be changed into a prime (96072496801) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1316061564 + ... + 1316061636.

It is an arithmetic number, because the mean of its divisors is an integer number (309983632).

Almost surely, 2^96072496800 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 96072496800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200869393536).

96072496800 is an abundant number, since it is smaller than the sum of its proper divisors (305666290272).

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

96072496800 is a wasteful number, since it uses less digits than its factorization.

96072496800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 96072496800 in words is "ninety-six billion, seventy-two million, four hundred ninety-six thousand, eight hundred".