99290565316800 has 2016 divisors, whose sum is σ = 437346673021440. Its totient is φ = 21004738560000.

The previous prime is 99290565316793. The next prime is 99290565316853. The reversal of 99290565316800 is 861356509299.

99290565316800 is a `hidden beast` number, since 9 + 9 + 2 + 9 + 0 + 565 + 3 + 1 + 68 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 20384018365 + ... + 20384023235.

It is an arithmetic number, because the mean of its divisors is an integer number (216937833840).

Almost surely, 2^{99290565316800} is an apocalyptic number.

99290565316800 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 99290565316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218673336510720).

99290565316800 is an abundant number, since it is smaller than the sum of its proper divisors (338056107704640).

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

99290565316800 is a wasteful number, since it uses less digits than its factorization.

99290565316800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5463 (or 5445 counting only the distinct ones).

The product of its (nonzero) digits is 31492800, while the sum is 63.

The spelling of 99290565316800 in words is "ninety-nine trillion, two hundred ninety billion, five hundred sixty-five million, three hundred sixteen thousand, eight hundred".