99224985600 has 1008 divisors, whose sum is σ = 395982483624. Its totient is φ = 23592960000.

The previous prime is 99224985599. The next prime is 99224985617. The reversal of 99224985600 is 658942299.

It is a happy number.

99224985600 is a `hidden beast` number, since 9 + 9 + 2 + 24 + 9 + 8 + 5 + 600 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 437981184 + 98787004416 = 20928^2 + 314304^2 .

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 982425550 + ... + 982425650.

Almost surely, 2^99224985600 is an apocalyptic number.

99224985600 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 99224985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197991241812).

99224985600 is an abundant number, since it is smaller than the sum of its proper divisors (296757498024).

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

99224985600 is a wasteful number, since it uses less digits than its factorization.

99224985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 99224985600 in words is "ninety-nine billion, two hundred twenty-four million, nine hundred eighty-five thousand, six hundred".