204457264560 has 560 divisors, whose sum is σ = 728620032000. Its totient is φ = 53321089536.

The previous prime is 204457264553. The next prime is 204457264619. The reversal of 204457264560 is 65462754402.

204457264560 is a `hidden beast` number, since 20 + 4 + 4 + 5 + 7 + 2 + 64 + 560 = 666.

204457264560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 916848609 + ... + 916848831.

It is an arithmetic number, because the mean of its divisors is an integer number (1301107200).

Almost surely, 2^204457264560 is an apocalyptic number.

204457264560 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 204457264560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364310016000).

204457264560 is an abundant number, since it is smaller than the sum of its proper divisors (524162767440).

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

204457264560 is a wasteful number, since it uses less digits than its factorization.

204457264560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 204457264560 in words is "two hundred four billion, four hundred fifty-seven million, two hundred sixty-four thousand, five hundred sixty".