204894655404560 has 160 divisors (see below), whose sum is σ = 520346406948480. Its totient is φ = 74412711936000.

The previous prime is 204894655404451. The next prime is 204894655404589. The reversal of 204894655404560 is 65404556498402.

It is a junction number, because it is equal to n+sod(n) for n = 204894655404493 and 204894655404502.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2616717410 + ... + 2616795710.

It is an arithmetic number, because the mean of its divisors is an integer number (3252165043428).

Almost surely, 2^{204894655404560} is an apocalyptic number.

204894655404560 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 204894655404560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260173203474240).

204894655404560 is an abundant number, since it is smaller than the sum of its proper divisors (315451751543920).

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

204894655404560 is a wasteful number, since it uses less digits than its factorization.

204894655404560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82057 (or 82051 counting only the distinct ones).

The product of its (nonzero) digits is 165888000, while the sum is 62.

The spelling of 204894655404560 in words is "two hundred four trillion, eight hundred ninety-four billion, six hundred fifty-five million, four hundred four thousand, five hundred sixty".