99702740592000 has 5120 divisors, whose sum is σ = 473544175104000. Its totient is φ = 20739898368000.

The previous prime is 99702740591953. The next prime is 99702740592031. The reversal of 99702740592000 is 29504720799.

99702740592000 is a `hidden beast` number, since 9 + 9 + 7 + 0 + 2 + 7 + 40 + 592 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 1404263951965 + ... + 1404263952035.

It is an arithmetic number, because the mean of its divisors is an integer number (92489096700).

Almost surely, 2^{99702740592000} is an apocalyptic number.

99702740592000 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 99702740592000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236772087552000).

99702740592000 is an abundant number, since it is smaller than the sum of its proper divisors (373841434512000).

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

99702740592000 is an frugal number, since it uses more digits than its factorization.

99702740592000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 99702740592000 in words is "ninety-nine trillion, seven hundred two billion, seven hundred forty million, five hundred ninety-two thousand".