96112396800 has 2400 divisors, whose sum is σ = 464156542080. Its totient is φ = 19110297600.

The previous prime is 96112396799. The next prime is 96112396801. The reversal of 96112396800 is 869321169.

It is a happy number.

96112396800 is a `hidden beast` number, since 9 + 611 + 23 + 9 + 6 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (96112396799) and next prime (96112396801).

It is a tau number, because it is divible by the number of its divisors (2400).

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

It is not an unprimeable number, because it can be changed into a prime (96112396801) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2344204780 + ... + 2344204820.

Almost surely, 2^96112396800 is an apocalyptic number.

96112396800 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 96112396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232078271040).

96112396800 is an abundant number, since it is smaller than the sum of its proper divisors (368044145280).

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

96112396800 is a wasteful number, since it uses less digits than its factorization.

96112396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 96112396800 in words is "ninety-six billion, one hundred twelve million, three hundred ninety-six thousand, eight hundred".