204261252643200 has 96 divisors (see below), whose sum is σ = 672785500925160. Its totient is φ = 54469667368960.

The previous prime is 204261252643187. The next prime is 204261252643213. The reversal of 204261252643200 is 2346252162402.

204261252643200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (204261252643187) and next prime (204261252643213).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10638597309 + ... + 10638616508.

Almost surely, 2^{204261252643200} is an apocalyptic number.

204261252643200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204261252643200 is an abundant number, since it is smaller than the sum of its proper divisors (468524248281960).

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

204261252643200 is a wasteful number, since it uses less digits than its factorization.

204261252643200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21277213844 (or 21277213827 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The spelling of 204261252643200 in words is "two hundred four trillion, two hundred sixty-one billion, two hundred fifty-two million, six hundred forty-three thousand, two hundred".