205291768264 has 160 divisors (see below), whose sum is σ = 438545592000. Its totient is φ = 90043747200.

The previous prime is 205291768159. The next prime is 205291768289. The reversal of 205291768264 is 462867192502.

It is a happy number.

205291768264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 421543429 + ... + 421543915.

It is an arithmetic number, because the mean of its divisors is an integer number (2740909950).

Almost surely, 2^205291768264 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 205291768264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219272796000).

205291768264 is an abundant number, since it is smaller than the sum of its proper divisors (233253823736).

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

205291768264 is an equidigital number, since it uses as much as digits as its factorization.

205291768264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 52.

The spelling of 205291768264 in words is "two hundred five billion, two hundred ninety-one million, seven hundred sixty-eight thousand, two hundred sixty-four".