96415607836800 has 768 divisors, whose sum is σ = 403892843846400. Its totient is φ = 22003384320000.

The previous prime is 96415607836789. The next prime is 96415607836817. The reversal of 96415607836800 is 863870651469.

96415607836800 is a `hidden beast` number, since 9 + 6 + 4 + 1 + 560 + 7 + 8 + 3 + 68 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 387552450 + ... + 387801150.

It is an arithmetic number, because the mean of its divisors is an integer number (525902140425).

Almost surely, 2^{96415607836800} is an apocalyptic number.

96415607836800 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 96415607836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201946421923200).

96415607836800 is an abundant number, since it is smaller than the sum of its proper divisors (307477236009600).

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

96415607836800 is a wasteful number, since it uses less digits than its factorization.

96415607836800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249382 (or 249359 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 96415607836800 in words is "ninety-six trillion, four hundred fifteen billion, six hundred seven million, eight hundred thirty-six thousand, eight hundred".