205382090568 has 64 divisors (see below), whose sum is σ = 530659238400. Its totient is φ = 66172170240.

The previous prime is 205382090561. The next prime is 205382090611. The reversal of 205382090568 is 865090283502.

205382090568 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (205382090561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 450280 + ... + 783272.

It is an arithmetic number, because the mean of its divisors is an integer number (8291550600).

Almost surely, 2^205382090568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205382090568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265329619200).

205382090568 is an abundant number, since it is smaller than the sum of its proper divisors (325277147832).

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

205382090568 is a wasteful number, since it uses less digits than its factorization.

205382090568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333862 (or 333858 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 205382090568 in words is "two hundred five billion, three hundred eighty-two million, ninety thousand, five hundred sixty-eight".