204656504000256 has 2592 divisors, whose sum is σ = 824978868779520. Its totient is φ = 49863544012800.

The previous prime is 204656504000237. The next prime is 204656504000269. The reversal of 204656504000256 is 652000405656402.

204656504000256 is a `hidden beast` number, since 2 + 0 + 46 + 56 + 504 + 0 + 0 + 0 + 2 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a congruent number.

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, 324336773061 + ... + 324336773691.

It is an arithmetic number, because the mean of its divisors is an integer number (318278884560).

Almost surely, 2^{204656504000256} 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 204656504000256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412489434389760).

204656504000256 is an abundant number, since it is smaller than the sum of its proper divisors (620322364779264).

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

204656504000256 is a wasteful number, since it uses less digits than its factorization.

204656504000256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

Adding to 204656504000256 its reverse (652000405656402), we get a palindrome (856656909656658).

The spelling of 204656504000256 in words is "two hundred four trillion, six hundred fifty-six billion, five hundred four million, two hundred fifty-six", and thus it is an aban number.