204666560208 has 960 divisors, whose sum is σ = 722010931200. Its totient is φ = 53348106240.

The previous prime is 204666560177. The next prime is 204666560209. The reversal of 204666560208 is 802065666402.

204666560208 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204666560209) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2299624228 + ... + 2299624316.

It is an arithmetic number, because the mean of its divisors is an integer number (752094720).

Almost surely, 2^204666560208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204666560208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361005465600).

204666560208 is an abundant number, since it is smaller than the sum of its proper divisors (517344370992).

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

204666560208 is a wasteful number, since it uses less digits than its factorization.

204666560208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 204666560208 in words is "two hundred four billion, six hundred sixty-six million, five hundred sixty thousand, two hundred eight".