99295468800 has 216 divisors, whose sum is σ = 357487015200. Its totient is φ = 24071577600.

The previous prime is 99295468787. The next prime is 99295468801. The reversal of 99295468800 is 886459299.

It is a super-4 number, since 4×99295468800⁴ (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99295468801) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 23875 + ... + 446274.

Almost surely, 2^99295468800 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 99295468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178743507600).

99295468800 is an abundant number, since it is smaller than the sum of its proper divisors (258191546400).

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

99295468800 is a wasteful number, since it uses less digits than its factorization.

99295468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470189 (or 470170 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 60.

The spelling of 99295468800 in words is "ninety-nine billion, two hundred ninety-five million, four hundred sixty-eight thousand, eight hundred".