99297225561600 has 2400 divisors, whose sum is σ = 427178737560960. Its totient is φ = 22526263296000.

The previous prime is 99297225561563. The next prime is 99297225561623. The reversal of 99297225561600 is 616552279299.

99297225561600 is a `hidden beast` number, since 9 + 9 + 2 + 9 + 7 + 2 + 2 + 5 + 5 + 616 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 17985366840 + ... + 17985372360.

Almost surely, 2^{99297225561600} is an apocalyptic number.

99297225561600 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 99297225561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213589368780480).

99297225561600 is an abundant number, since it is smaller than the sum of its proper divisors (327881511999360).

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

99297225561600 is a wasteful number, since it uses less digits than its factorization.

99297225561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5674 (or 5644 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 63.

The spelling of 99297225561600 in words is "ninety-nine trillion, two hundred ninety-seven billion, two hundred twenty-five million, five hundred sixty-one thousand, six hundred".