204362656560 has 800 divisors, whose sum is σ = 764325365760. Its totient is φ = 50512896000.

The previous prime is 204362656489. The next prime is 204362656579. The reversal of 204362656560 is 65656263402.

204362656560 is a `hidden beast` number, since 2 + 0 + 4 + 3 + 6 + 26 + 565 + 60 = 666.

It is a super-2 number, since 2×204362656560² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 509632360 + ... + 509632760.

Almost surely, 2^204362656560 is an apocalyptic number.

204362656560 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 204362656560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382162682880).

204362656560 is an abundant number, since it is smaller than the sum of its proper divisors (559962709200).

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

204362656560 is a wasteful number, since it uses less digits than its factorization.

204362656560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 204362656560 in words is "two hundred four billion, three hundred sixty-two million, six hundred fifty-six thousand, five hundred sixty".