99082051200 has 1920 divisors, whose sum is σ = 440757504000. Its totient is φ = 21648384000.

The previous prime is 99082051171. The next prime is 99082051217. The reversal of 99082051200 is 215028099.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 239 ways as a sum of consecutive naturals, for example, 1679356771 + ... + 1679356829.

It is an arithmetic number, because the mean of its divisors is an integer number (229561200).

Almost surely, 2^99082051200 is an apocalyptic number.

99082051200 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 99082051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220378752000).

99082051200 is an abundant number, since it is smaller than the sum of its proper divisors (341675452800).

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

99082051200 is a wasteful number, since it uses less digits than its factorization.

99082051200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

Adding to 99082051200 its reverse (215028099), we get a palindrome (99297079299).

The spelling of 99082051200 in words is "ninety-nine billion, eighty-two million, fifty-one thousand, two hundred".