204492128256 has 480 divisors, whose sum is σ = 662050681600. Its totient is φ = 62777327616.

The previous prime is 204492128251. The next prime is 204492128261. The reversal of 204492128256 is 652821294402.

204492128256 is a `hidden beast` number, since 20 + 4 + 492 + 12 + 82 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (204492128251) and next prime (204492128261).

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204492128251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 465813285 + ... + 465813723.

Almost surely, 2^204492128256 is an apocalyptic number.

204492128256 is a gapful number since it is divisible by the number (26) 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 204492128256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331025340800).

204492128256 is an abundant number, since it is smaller than the sum of its proper divisors (457558553344).

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

204492128256 is an frugal number, since it uses more digits than its factorization.

204492128256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 204492128256 in words is "two hundred four billion, four hundred ninety-two million, one hundred twenty-eight thousand, two hundred fifty-six".