99912840576192 has 448 divisors, whose sum is σ = 337057291238400. Its totient is φ = 28429991608320.

The previous prime is 99912840576169. The next prime is 99912840576287. The reversal of 99912840576192 is 29167504821999.

99912840576192 is a `hidden beast` number, since 9 + 9 + 9 + 1 + 2 + 8 + 40 + 576 + 1 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 99912840576192.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15205116267 + ... + 15205122837.

Almost surely, 2^{99912840576192} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99912840576192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168528645619200).

99912840576192 is an abundant number, since it is smaller than the sum of its proper divisors (237144450662208).

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

99912840576192 is a wasteful number, since it uses less digits than its factorization.

99912840576192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11541 (or 11525 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 72.

The spelling of 99912840576192 in words is "ninety-nine trillion, nine hundred twelve billion, eight hundred forty million, five hundred seventy-six thousand, one hundred ninety-two".