205781252768 has 96 divisors (see below), whose sum is σ = 514708669440. Its totient is φ = 78781870080.

The previous prime is 205781252767. The next prime is 205781252773. The reversal of 205781252768 is 867252187502.

205781252768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (205781252767) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1049513 + ... + 1230056.

It is an arithmetic number, because the mean of its divisors is an integer number (5361548640).

Almost surely, 2^205781252768 is an apocalyptic number.

205781252768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

205781252768 is an abundant number, since it is smaller than the sum of its proper divisors (308927416672).

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

205781252768 is a wasteful number, since it uses less digits than its factorization.

205781252768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2279630 (or 2279622 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 53.

The spelling of 205781252768 in words is "two hundred five billion, seven hundred eighty-one million, two hundred fifty-two thousand, seven hundred sixty-eight".