99153715200 has 336 divisors, whose sum is σ = 332612122176. Its totient is φ = 26057113600.

The previous prime is 99153715189. The next prime is 99153715207. The reversal of 99153715200 is 251735199.

99153715200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×99153715200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99153715207) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 43621264 + ... + 43623536.

Almost surely, 2^99153715200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99153715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166306061088).

99153715200 is an abundant number, since it is smaller than the sum of its proper divisors (233458406976).

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

99153715200 is a wasteful number, since it uses less digits than its factorization.

99153715200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2383 (or 2354 counting only the distinct ones).

The product of its (nonzero) digits is 85050, while the sum is 42.

The spelling of 99153715200 in words is "ninety-nine billion, one hundred fifty-three million, seven hundred fifteen thousand, two hundred".