204556130085888 has 1584 divisors, whose sum is σ = 756092924574624. Its totient is φ = 54886685736960.

The previous prime is 204556130085859. The next prime is 204556130085929. The reversal of 204556130085888 is 888580031655402.

It is a happy number.

204556130085888 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 5 + 613 + 0 + 0 + 8 + 5 + 8 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 137010133270 + ... + 137010134762.

Almost surely, 2^{204556130085888} is an apocalyptic number.

204556130085888 is a gapful number since it is divisible by the number (28) 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 204556130085888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378046462287312).

204556130085888 is an abundant number, since it is smaller than the sum of its proper divisors (551536794488736).

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

204556130085888 is a wasteful number, since it uses less digits than its factorization.

204556130085888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2220 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 73728000, while the sum is 63.

The spelling of 204556130085888 in words is "two hundred four trillion, five hundred fifty-six billion, one hundred thirty million, eighty-five thousand, eight hundred eighty-eight".