99305206228800 has 1008 divisors, whose sum is σ = 415002162120000. Its totient is φ = 22203777024000.

The previous prime is 99305206228799. The next prime is 99305206228819. The reversal of 99305206228800 is 882260250399.

99305206228800 is a `hidden beast` number, since 9 + 9 + 3 + 0 + 5 + 2 + 0 + 622 + 8 + 8 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2571921495 + ... + 2571960105.

Almost surely, 2^{99305206228800} is an apocalyptic number.

99305206228800 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 99305206228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207501081060000).

99305206228800 is an abundant number, since it is smaller than the sum of its proper divisors (315696955891200).

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

99305206228800 is a wasteful number, since it uses less digits than its factorization.

99305206228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39912 (or 39894 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 99305206228800 in words is "ninety-nine trillion, three hundred five billion, two hundred six million, two hundred twenty-eight thousand, eight hundred".