205522976256 has 160 divisors (see below), whose sum is σ = 590662195200. Its totient is φ = 63128592384.

The previous prime is 205522976233. The next prime is 205522976261. The reversal of 205522976256 is 652679225502.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 205522976199 and 205522976208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11952241 + ... + 11969423.

It is an arithmetic number, because the mean of its divisors is an integer number (3691638720).

Almost surely, 2^205522976256 is an apocalyptic number.

205522976256 is a gapful number since it is divisible by the number (26) 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 205522976256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295331097600).

205522976256 is an abundant number, since it is smaller than the sum of its proper divisors (385139218944).

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

205522976256 is a wasteful number, since it uses less digits than its factorization.

205522976256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17816 (or 17800 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 51.

The spelling of 205522976256 in words is "two hundred five billion, five hundred twenty-two million, nine hundred seventy-six thousand, two hundred fifty-six".