99974200435200 has 2160 divisors, whose sum is σ = 450147395113416. Its totient is φ = 21002217062400.

The previous prime is 99974200435199. The next prime is 99974200435231. The reversal of 99974200435200 is 253400247999.

99974200435200 is a `hidden beast` number, since 9 + 9 + 9 + 7 + 420 + 0 + 4 + 3 + 5 + 200 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 11026968793344 + 88947231641856 = 3320688^2 + 9431184^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 17685155574 + ... + 17685161226.

Almost surely, 2^{99974200435200} is an apocalyptic number.

99974200435200 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 99974200435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225073697556708).

99974200435200 is an abundant number, since it is smaller than the sum of its proper divisors (350173194678216).

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

99974200435200 is a wasteful number, since it uses less digits than its factorization.

99974200435200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5955 (or 5924 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 99974200435200 in words is "ninety-nine trillion, nine hundred seventy-four billion, two hundred million, four hundred thirty-five thousand, two hundred".