268056040020864 has 128 divisors (see below), whose sum is σ = 720041145089280. Its totient is φ = 88347655618560.

The previous prime is 268056040020827. The next prime is 268056040020917. The reversal of 268056040020864 is 468020040650862.

It is a happy number.

268056040020864 is digitally balanced in base 2, 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 (128).

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, 36209619 + ... + 42979629.

It is an arithmetic number, because the mean of its divisors is an integer number (5625321446010).

Almost surely, 2^{268056040020864} is an apocalyptic number.

268056040020864 is a gapful number since it is divisible by the number (24) 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 268056040020864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360020572544640).

268056040020864 is an abundant number, since it is smaller than the sum of its proper divisors (451985105068416).

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

268056040020864 is a wasteful number, since it uses less digits than its factorization.

268056040020864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6771188 (or 6771176 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 51.

The spelling of 268056040020864 in words is "two hundred sixty-eight trillion, fifty-six billion, forty million, twenty thousand, eight hundred sixty-four".