99721342468800 has 1260 divisors, whose sum is σ = 398089893613896. Its totient is φ = 24474186547200.

The previous prime is 99721342468763. The next prime is 99721342468837. The reversal of 99721342468800 is 886424312799.

99721342468800 is a `hidden beast` number, since 9 + 9 + 72 + 1 + 3 + 424 + 68 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (99721342468763) and next prime (99721342468837).

It is a super-2 number, since 2×99721342468800² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 7600126240 + ... + 7600139360.

Almost surely, 2^{99721342468800} is an apocalyptic number.

99721342468800 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 99721342468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199044946806948).

99721342468800 is an abundant number, since it is smaller than the sum of its proper divisors (298368551145096).

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

99721342468800 is a wasteful number, since it uses less digits than its factorization.

99721342468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13528 (or 13491 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 99721342468800 in words is "ninety-nine trillion, seven hundred twenty-one billion, three hundred forty-two million, four hundred sixty-eight thousand, eight hundred".