99757818466560 has 2016 divisors, whose sum is σ = 386170130021760. Its totient is φ = 24604412608512.

The previous prime is 99757818466477. The next prime is 99757818466589. The reversal of 99757818466560 is 6566481875799.

It is a happy number.

99757818466560 is a `hidden beast` number, since 9 + 9 + 7 + 5 + 7 + 8 + 1 + 8 + 46 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 99757818466560.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 162737060814 + ... + 162737061426.

It is an arithmetic number, because the mean of its divisors is an integer number (191552643860).

Almost surely, 2^{99757818466560} is an apocalyptic number.

99757818466560 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 99757818466560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193085065010880).

99757818466560 is an abundant number, since it is smaller than the sum of its proper divisors (286412311555200).

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

99757818466560 is a wasteful number, since it uses less digits than its factorization.

99757818466560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 5486745600, while the sum is 81.

The spelling of 99757818466560 in words is "ninety-nine trillion, seven hundred fifty-seven billion, eight hundred eighteen million, four hundred sixty-six thousand, five hundred sixty".