205759790268 has 24 divisors (see below), whose sum is σ = 480114491472. Its totient is φ = 68585409024.

The previous prime is 205759790267. The next prime is 205759790303. The reversal of 205759790268 is 862097957502.

It is a super-2 number, since 2×205759790268² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205759790261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 832746 + ... + 1051182.

It is an arithmetic number, because the mean of its divisors is an integer number (20004770478).

Almost surely, 2^205759790268 is an apocalyptic number.

It is an amenable number.

205759790268 is an abundant number, since it is smaller than the sum of its proper divisors (274354701204).

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

205759790268 is a wasteful number, since it uses less digits than its factorization.

205759790268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296941 (or 296939 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 60.

The spelling of 205759790268 in words is "two hundred five billion, seven hundred fifty-nine million, seven hundred ninety thousand, two hundred sixty-eight".