205305807364 has 72 divisors (see below), whose sum is σ = 421167418560. Its totient is φ = 87311415744.

The previous prime is 205305807347. The next prime is 205305807379. The reversal of 205305807364 is 463708503502.

It is a self number, because there is not a number n which added to its sum of digits gives 205305807364.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20256042 + ... + 20266174.

It is an arithmetic number, because the mean of its divisors is an integer number (5849547480).

Almost surely, 2^205305807364 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 205305807364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210583709280).

205305807364 is an abundant number, since it is smaller than the sum of its proper divisors (215861611196).

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

205305807364 is a wasteful number, since it uses less digits than its factorization.

205305807364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10937 (or 10928 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 43.

The spelling of 205305807364 in words is "two hundred five billion, three hundred five million, eight hundred seven thousand, three hundred sixty-four".