205642311960 has 128 divisors (see below), whose sum is σ = 625018060800. Its totient is φ = 54119370240.

The previous prime is 205642311943. The next prime is 205642311983. The reversal of 205642311960 is 69113246502.

205642311960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 32143482 + ... + 32149878.

It is an arithmetic number, because the mean of its divisors is an integer number (4882953600).

Almost surely, 2^205642311960 is an apocalyptic number.

205642311960 is a gapful number since it is divisible by the number (20) 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 205642311960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312509030400).

205642311960 is an abundant number, since it is smaller than the sum of its proper divisors (419375748840).

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

205642311960 is a wasteful number, since it uses less digits than its factorization.

205642311960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9881 (or 9877 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 205642311960 in words is "two hundred five billion, six hundred forty-two million, three hundred eleven thousand, nine hundred sixty".