96455996985600 has 2592 divisors, whose sum is σ = 422938276051200. Its totient is φ = 21736291368960.

The previous prime is 96455996985589. The next prime is 96455996985619. The reversal of 96455996985600 is 658969955469.

96455996985600 is a `hidden beast` number, since 9 + 6 + 4 + 559 + 9 + 6 + 9 + 8 + 56 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 96455996985600.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 38940651562 + ... + 38940654038.

Almost surely, 2^{96455996985600} is an apocalyptic number.

96455996985600 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 96455996985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211469138025600).

96455996985600 is an abundant number, since it is smaller than the sum of its proper divisors (326482279065600).

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

96455996985600 is an equidigital number, since it uses as much as digits as its factorization.

96455996985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2612 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 5668704000, while the sum is 81.

The spelling of 96455996985600 in words is "ninety-six trillion, four hundred fifty-five billion, nine hundred ninety-six million, nine hundred eighty-five thousand, six hundred".