204880525200 has 1800 divisors, whose sum is σ = 882500230656. Its totient is φ = 45287424000.

The previous prime is 204880525193. The next prime is 204880525219. The reversal of 204880525200 is 2525088402.

204880525200 is a `hidden beast` number, since 2 + 0 + 4 + 8 + 80 + 52 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 2885641165 + ... + 2885641235.

Almost surely, 2^204880525200 is an apocalyptic number.

204880525200 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 204880525200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441250115328).

204880525200 is an abundant number, since it is smaller than the sum of its proper divisors (677619705456).

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

204880525200 is a wasteful number, since it uses less digits than its factorization.

204880525200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 204880525200 in words is "two hundred four billion, eight hundred eighty million, five hundred twenty-five thousand, two hundred".