96112598400 has 1728 divisors, whose sum is σ = 446115196800. Its totient is φ = 19624550400.

The previous prime is 96112598389. The next prime is 96112598419. The reversal of 96112598400 is 489521169.

96112598400 is a `hidden beast` number, since 9 + 6 + 1 + 12 + 598 + 40 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3100406385 + ... + 3100406415.

Almost surely, 2^96112598400 is an apocalyptic number.

96112598400 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 96112598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223057598400).

96112598400 is an abundant number, since it is smaller than the sum of its proper divisors (350002598400).

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

96112598400 is a wasteful number, since it uses less digits than its factorization.

96112598400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 96112598400 in words is "ninety-six billion, one hundred twelve million, five hundred ninety-eight thousand, four hundred".