99413395200 has 1296 divisors, whose sum is σ = 433409760000. Its totient is φ = 22225674240.

The previous prime is 99413395199. The next prime is 99413395217. The reversal of 99413395200 is 259331499.

99413395200 is a `hidden beast` number, since 9 + 94 + 1 + 3 + 39 + 520 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 499564701 + ... + 499564899.

Almost surely, 2^99413395200 is an apocalyptic number.

99413395200 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 99413395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216704880000).

99413395200 is an abundant number, since it is smaller than the sum of its proper divisors (333996364800).

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

99413395200 is a wasteful number, since it uses less digits than its factorization.

99413395200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 275 counting only the distinct ones).

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

The spelling of 99413395200 in words is "ninety-nine billion, four hundred thirteen million, three hundred ninety-five thousand, two hundred".