268010096256 has 768 divisors, whose sum is σ = 946674892800. Its totient is φ = 71165952000.

The previous prime is 268010096227. The next prime is 268010096267. The reversal of 268010096256 is 652690010862.

268010096256 is a `hidden beast` number, since 2 + 6 + 8 + 0 + 10 + 0 + 9 + 625 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 809698011 + ... + 809698341.

It is an arithmetic number, because the mean of its divisors is an integer number (1232649600).

Almost surely, 2^268010096256 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 268010096256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473337446400).

268010096256 is an abundant number, since it is smaller than the sum of its proper divisors (678664796544).

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

268010096256 is a wasteful number, since it uses less digits than its factorization.

268010096256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 268010096256 in words is "two hundred sixty-eight billion, ten million, ninety-six thousand, two hundred fifty-six".