204000652800 has 1440 divisors, whose sum is σ = 923271478272. Its totient is φ = 41912893440.

The previous prime is 204000652753. The next prime is 204000652837. The reversal of 204000652800 is 8256000402.

204000652800 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 0 + 0 + 652 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×204000652800² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 315302077 + ... + 315302723.

Almost surely, 2^204000652800 is an apocalyptic number.

204000652800 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 204000652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461635739136).

204000652800 is an abundant number, since it is smaller than the sum of its proper divisors (719270825472).

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

204000652800 is a wasteful number, since it uses less digits than its factorization.

204000652800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 204000652800 in words is "two hundred four billion, six hundred fifty-two thousand, eight hundred".