205353985600 has 63 divisors (see below), whose sum is σ = 505343757027. Its totient is φ = 82134343680.

The previous prime is 205353985579. The next prime is 205353985601. The reversal of 205353985600 is 6589353502.

The square root of 205353985600 is 453160.

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

It can be written as a sum of positive squares in 4 ways, for example, as 17039647296 + 188314338304 = 130536^2 + 433952^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205353985601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18120736 + ... + 18132064.

Almost surely, 2^205353985600 is an apocalyptic number.

205353985600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

205353985600 is the 453160-th square number.

It is an amenable number.

205353985600 is an abundant number, since it is smaller than the sum of its proper divisors (299989771427).

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

205353985600 is an frugal number, since it uses more digits than its factorization.

205353985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22680 (or 11336 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 46.

The spelling of 205353985600 in words is "two hundred five billion, three hundred fifty-three million, nine hundred eighty-five thousand, six hundred".