205065813264 has 160 divisors (see below), whose sum is σ = 582106742784. Its totient is φ = 61817333760.

The previous prime is 205065813263. The next prime is 205065813311. The reversal of 205065813264 is 462318560502.

It is not an unprimeable number, because it can be changed into a prime (205065813263) 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, 25031409 + ... + 25039599.

Almost surely, 2^205065813264 is an apocalyptic number.

205065813264 is a gapful number since it is divisible by the number (24) 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 205065813264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291053371392).

205065813264 is an abundant number, since it is smaller than the sum of its proper divisors (377040929520).

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

205065813264 is a wasteful number, since it uses less digits than its factorization.

205065813264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9025 (or 9019 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 205065813264 in words is "two hundred five billion, sixty-five million, eight hundred thirteen thousand, two hundred sixty-four".