99882508492800 has 4032 divisors, whose sum is σ = 434246854339200. Its totient is φ = 22703033548800.

The previous prime is 99882508492777. The next prime is 99882508492829. The reversal of 99882508492800 is 829480528899.

99882508492800 is a `hidden beast` number, since 9 + 9 + 8 + 8 + 2 + 50 + 8 + 492 + 80 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1029716582352 + ... + 1029716582448.

Almost surely, 2^{99882508492800} is an apocalyptic number.

99882508492800 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 99882508492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217123427169600).

99882508492800 is an abundant number, since it is smaller than the sum of its proper divisors (334364345846400).

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

99882508492800 is an equidigital number, since it uses as much as digits as its factorization.

99882508492800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 72.

The spelling of 99882508492800 in words is "ninety-nine trillion, eight hundred eighty-two billion, five hundred eight million, four hundred ninety-two thousand, eight hundred".