205668822960 has 240 divisors, whose sum is σ = 717372085248. Its totient is φ = 52749273600.

The previous prime is 205668822959. The next prime is 205668822973. The reversal of 205668822960 is 69228866502.

205668822960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 205668822897 and 205668822906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3609895 + ... + 3666425.

Almost surely, 2^205668822960 is an apocalyptic number.

205668822960 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 205668822960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358686042624).

205668822960 is an abundant number, since it is smaller than the sum of its proper divisors (511703262288).

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

205668822960 is a wasteful number, since it uses less digits than its factorization.

205668822960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56744 (or 56735 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 205668822960 in words is "two hundred five billion, six hundred sixty-eight million, eight hundred twenty-two thousand, nine hundred sixty".