205687131296 has 48 divisors (see below), whose sum is σ = 422672681088. Its totient is φ = 98344224000.

The previous prime is 205687131239. The next prime is 205687131313. The reversal of 205687131296 is 692131786502.

It is a happy number.

205687131296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2686181 + ... + 2761691.

It is an arithmetic number, because the mean of its divisors is an integer number (8805680856).

Almost surely, 2^205687131296 is an apocalyptic number.

It is an amenable number.

205687131296 is an abundant number, since it is smaller than the sum of its proper divisors (216985549792).

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

205687131296 is a wasteful number, since it uses less digits than its factorization.

205687131296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79245 (or 79237 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 50.

The spelling of 205687131296 in words is "two hundred five billion, six hundred eighty-seven million, one hundred thirty-one thousand, two hundred ninety-six".