205022556960 has 192 divisors, whose sum is σ = 704305082880. Its totient is φ = 49828147200.

The previous prime is 205022556923. The next prime is 205022556971. The reversal of 205022556960 is 69655220502.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 285010 + ... + 700910.

It is an arithmetic number, because the mean of its divisors is an integer number (3668255640).

Almost surely, 2^205022556960 is an apocalyptic number.

205022556960 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 205022556960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352152541440).

205022556960 is an abundant number, since it is smaller than the sum of its proper divisors (499282525920).

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

205022556960 is a wasteful number, since it uses less digits than its factorization.

205022556960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416011 (or 416003 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

The spelling of 205022556960 in words is "two hundred five billion, twenty-two million, five hundred fifty-six thousand, nine hundred sixty".