99546912000 has 432 divisors, whose sum is σ = 360386470080. Its totient is φ = 26383872000.

The previous prime is 99546911999. The next prime is 99546912079. The reversal of 99546912000 is 21964599.

99546912000 is a `hidden beast` number, since 99 + 546 + 9 + 12 + 0 + 0 + 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51551035 + ... + 51552965.

It is an arithmetic number, because the mean of its divisors is an integer number (834227940).

Almost surely, 2^99546912000 is an apocalyptic number.

99546912000 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 99546912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180193235040).

99546912000 is an abundant number, since it is smaller than the sum of its proper divisors (260839558080).

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

99546912000 is a wasteful number, since it uses less digits than its factorization.

99546912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 99546912000 in words is "ninety-nine billion, five hundred forty-six million, nine hundred twelve thousand".