204955228800 has 768 divisors, whose sum is σ = 865376160000. Its totient is φ = 46402191360.

The previous prime is 204955228789. The next prime is 204955228801. The reversal of 204955228800 is 8822559402.

204955228800 is a `hidden beast` number, since 2 + 0 + 49 + 5 + 522 + 8 + 80 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (204955228801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65921646 + ... + 65924754.

It is an arithmetic number, because the mean of its divisors is an integer number (1126791875).

Almost surely, 2^204955228800 is an apocalyptic number.

204955228800 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 204955228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432688080000).

204955228800 is an abundant number, since it is smaller than the sum of its proper divisors (660420931200).

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

204955228800 is a wasteful number, since it uses less digits than its factorization.

204955228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3258 (or 3235 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 204955228800 in words is "two hundred four billion, nine hundred fifty-five million, two hundred twenty-eight thousand, eight hundred".