268056280008 has 96 divisors (see below), whose sum is σ = 792640218240. Its totient is φ = 81161919360.

The previous prime is 268056280003. The next prime is 268056280013. The reversal of 268056280008 is 800082650862.

268056280008 is a `hidden beast` number, since 2 + 6 + 8 + 0 + 562 + 80 + 0 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (268056280003) and next prime (268056280013).

It is not an unprimeable number, because it can be changed into a prime (268056280001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 821185 + ... + 1100207.

It is an arithmetic number, because the mean of its divisors is an integer number (8256668940).

Almost surely, 2^268056280008 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 268056280008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396320109120).

268056280008 is an abundant number, since it is smaller than the sum of its proper divisors (524583938232).

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

268056280008 is a wasteful number, since it uses less digits than its factorization.

268056280008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280259 (or 280252 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 268056280008 in words is "two hundred sixty-eight billion, fifty-six million, two hundred eighty thousand, eight".