99029828617200 has 720 divisors, whose sum is σ = 379482700615200. Its totient is φ = 23764209131520.

The previous prime is 99029828617127. The next prime is 99029828617211. The reversal of 99029828617200 is 271682892099.

It is a happy number.

99029828617200 is a `hidden beast` number, since 9 + 9 + 0 + 2 + 9 + 8 + 2 + 8 + 617 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 389295651 + ... + 389549949.

It is an arithmetic number, because the mean of its divisors is an integer number (527059306410).

Almost surely, 2^{99029828617200} is an apocalyptic number.

99029828617200 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 99029828617200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189741350307600).

99029828617200 is an abundant number, since it is smaller than the sum of its proper divisors (280452871998000).

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

99029828617200 is a wasteful number, since it uses less digits than its factorization.

99029828617200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254546 (or 254532 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 99029828617200 in words is "ninety-nine trillion, twenty-nine billion, eight hundred twenty-eight million, six hundred seventeen thousand, two hundred".