204292006800 has 120 divisors (see below), whose sum is σ = 747903339456. Its totient is φ = 46695313920.

The previous prime is 204292006799. The next prime is 204292006813. The reversal of 204292006800 is 8600292402.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12151839 + ... + 12168638.

Almost surely, 2^204292006800 is an apocalyptic number.

204292006800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204292006800 is an abundant number, since it is smaller than the sum of its proper divisors (543611332656).

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

204292006800 is a wasteful number, since it uses less digits than its factorization.

204292006800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24320505 (or 24320494 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 204292006800 in words is "two hundred four billion, two hundred ninety-two million, six thousand, eight hundred".