96319238400 has 2160 divisors, whose sum is σ = 471063183360. Its totient is φ = 18811699200.

The previous prime is 96319238387. The next prime is 96319238423. The reversal of 96319238400 is 483291369.

It is a happy number.

96319238400 is a `hidden beast` number, since 9 + 6 + 3 + 1 + 9 + 238 + 400 = 666.

96319238400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 758419137 + ... + 758419263.

Almost surely, 2^96319238400 is an apocalyptic number.

96319238400 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 96319238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235531591680).

96319238400 is an abundant number, since it is smaller than the sum of its proper divisors (374743944960).

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

96319238400 is a wasteful number, since it uses less digits than its factorization.

96319238400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 96319238400 in words is "ninety-six billion, three hundred nineteen million, two hundred thirty-eight thousand, four hundred".