99133259400 has 1152 divisors, whose sum is σ = 426145224960. Its totient is φ = 20901888000.

The previous prime is 99133259369. The next prime is 99133259441. The reversal of 99133259400 is 495233199.

99133259400 is a `hidden beast` number, since 99 + 133 + 25 + 9 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 352787260 + ... + 352787540.

It is an arithmetic number, because the mean of its divisors is an integer number (369917730).

Almost surely, 2^99133259400 is an apocalyptic number.

99133259400 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 99133259400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213072612480).

99133259400 is an abundant number, since it is smaller than the sum of its proper divisors (327011965560).

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

99133259400 is a wasteful number, since it uses less digits than its factorization.

99133259400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 99133259400 in words is "ninety-nine billion, one hundred thirty-three million, two hundred fifty-nine thousand, four hundred".