205495565964 has 96 divisors (see below), whose sum is σ = 522310832064. Its totient is φ = 62504371200.

The previous prime is 205495565963. The next prime is 205495566083. The reversal of 205495565964 is 469565594502.

It is a junction number, because it is equal to n+sod(n) for n = 205495565898 and 205495565907.

It is not an unprimeable number, because it can be changed into a prime (205495565963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10278682 + ... + 10298654.

It is an arithmetic number, because the mean of its divisors is an integer number (5440737834).

Almost surely, 2^205495565964 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 205495565964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261155416032).

205495565964 is an abundant number, since it is smaller than the sum of its proper divisors (316815266100).

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

205495565964 is a wasteful number, since it uses less digits than its factorization.

205495565964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20747 (or 20745 counting only the distinct ones).

The product of its (nonzero) digits is 58320000, while the sum is 60.

The spelling of 205495565964 in words is "two hundred five billion, four hundred ninety-five million, five hundred sixty-five thousand, nine hundred sixty-four".