204891168560400 has 1215 divisors, whose sum is σ = 836168734351821. Its totient is φ = 46325207255040.

The previous prime is 204891168560383. The next prime is 204891168560411. The reversal of 204891168560400 is 4065861198402.

The square root of 204891168560400 is 14314020.

It is a perfect power (a square), and thus also a powerful number.

204891168560400 is a `hidden beast` number, since 2 + 0 + 4 + 8 + 9 + 11 + 68 + 560 + 4 + 0 + 0 = 666.

204891168560400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 7738567021584 + 197152601538816 = 2781828^2 + 14041104^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1040056693102 + ... + 1040056693298.

Almost surely, 2^{204891168560400} is an apocalyptic number.

204891168560400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

204891168560400 is the 14314020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204891168560400

204891168560400 is an abundant number, since it is smaller than the sum of its proper divisors (631277565791421).

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

204891168560400 is a wasteful number, since it uses less digits than its factorization.

204891168560400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 204891168560400 in words is "two hundred four trillion, eight hundred ninety-one billion, one hundred sixty-eight million, five hundred sixty thousand, four hundred".