99127984204800 has 528 divisors, whose sum is σ = 385439046527520. Its totient is φ = 24879177400320.

The previous prime is 99127984204759. The next prime is 99127984204999. The reversal of 99127984204800 is 840248972199.

99127984204800 is a `hidden beast` number, since 9 + 9 + 1 + 2 + 79 + 84 + 2 + 0 + 480 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7532332 + ... + 15968468.

Almost surely, 2^{99127984204800} is an apocalyptic number.

99127984204800 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 99127984204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192719523263760).

99127984204800 is an abundant number, since it is smaller than the sum of its proper divisors (286311062322720).

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

99127984204800 is a wasteful number, since it uses less digits than its factorization.

99127984204800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8436193 (or 8436164 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 99127984204800 in words is "ninety-nine trillion, one hundred twenty-seven billion, nine hundred eighty-four million, two hundred four thousand, eight hundred".