99456364800 has 972 divisors, whose sum is σ = 408362667804. Its totient is φ = 23003136000.

The previous prime is 99456364793. The next prime is 99456364811. The reversal of 99456364800 is 846365499.

99456364800 is a `hidden beast` number, since 99 + 45 + 6 + 36 + 480 + 0 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 68862157056 + 30594207744 = 262416^2 + 174912^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 165484500 + ... + 165485100.

Almost surely, 2^99456364800 is an apocalyptic number.

99456364800 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 99456364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204181333902).

99456364800 is an abundant number, since it is smaller than the sum of its proper divisors (308906303004).

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

99456364800 is a wasteful number, since it uses less digits than its factorization.

99456364800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 99456364800 in words is "ninety-nine billion, four hundred fifty-six million, three hundred sixty-four thousand, eight hundred".