204930005852160 has 336 divisors, whose sum is σ = 713145116217456. Its totient is φ = 54435338256384.

The previous prime is 204930005852153. The next prime is 204930005852197. The reversal of 204930005852160 is 61258500039402.

204930005852160 is a `hidden beast` number, since 2 + 0 + 4 + 9 + 3 + 0 + 0 + 0 + 585 + 2 + 1 + 60 = 666.

204930005852160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93658947 + ... + 95822013.

Almost surely, 2^{204930005852160} is an apocalyptic number.

204930005852160 is a gapful number since it is divisible by the number (20) 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 204930005852160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356572558108728).

204930005852160 is an abundant number, since it is smaller than the sum of its proper divisors (508215110365296).

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

204930005852160 is a wasteful number, since it uses less digits than its factorization.

204930005852160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163361 (or 2163334 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 204930005852160 in words is "two hundred four trillion, nine hundred thirty billion, five million, eight hundred fifty-two thousand, one hundred sixty".