99675828000 has 1152 divisors, whose sum is σ = 437136860160. Its totient is φ = 20990361600.

The previous prime is 99675827981. The next prime is 99675828011. The reversal of 99675828000 is 82857699.

It is a happy number.

99675828000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 227051781 + ... + 227052219.

It is an arithmetic number, because the mean of its divisors is an integer number (379459080).

Almost surely, 2^99675828000 is an apocalyptic number.

99675828000 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 99675828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218568430080).

99675828000 is an abundant number, since it is smaller than the sum of its proper divisors (337461032160).

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

99675828000 is a wasteful number, since it uses less digits than its factorization.

99675828000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 99675828000 in words is "ninety-nine billion, six hundred seventy-five million, eight hundred twenty-eight thousand".