205945975872 has 1792 divisors, whose sum is σ = 850982092800. Its totient is φ = 47889211392.

The previous prime is 205945975843. The next prime is 205945975883. The reversal of 205945975872 is 278579549502.

205945975872 is a `hidden beast` number, since 2 + 0 + 5 + 9 + 45 + 9 + 7 + 587 + 2 = 666.

205945975872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 255 ways as a sum of consecutive naturals, for example, 5566107438 + ... + 5566107474.

It is an arithmetic number, because the mean of its divisors is an integer number (474878400).

Almost surely, 2^205945975872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205945975872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425491046400).

205945975872 is an abundant number, since it is smaller than the sum of its proper divisors (645036116928).

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

205945975872 is a wasteful number, since it uses less digits than its factorization.

205945975872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 63.

The spelling of 205945975872 in words is "two hundred five billion, nine hundred forty-five million, nine hundred seventy-five thousand, eight hundred seventy-two".