99294925564800 has 4608 divisors, whose sum is σ = 456446285568000. Its totient is φ = 20040332083200.

The previous prime is 99294925564781. The next prime is 99294925564811. The reversal of 99294925564800 is 846552949299.

99294925564800 is a `hidden beast` number, since 9 + 9 + 2 + 9 + 4 + 92 + 5 + 56 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 498969475101 + ... + 498969475299.

It is an arithmetic number, because the mean of its divisors is an integer number (99055183500).

Almost surely, 2^{99294925564800} is an apocalyptic number.

99294925564800 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 99294925564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228223142784000).

99294925564800 is an abundant number, since it is smaller than the sum of its proper divisors (357151360003200).

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

99294925564800 is a wasteful number, since it uses less digits than its factorization.

99294925564800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 503884800, while the sum is 72.

The spelling of 99294925564800 in words is "ninety-nine trillion, two hundred ninety-four billion, nine hundred twenty-five million, five hundred sixty-four thousand, eight hundred".