268885972656 has 320 divisors, whose sum is σ = 902792217600. Its totient is φ = 75039934464.

The previous prime is 268885972651. The next prime is 268885972669. The reversal of 268885972656 is 656279588862.

268885972656 is a `hidden beast` number, since 2 + 6 + 8 + 8 + 8 + 597 + 26 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (268885972651) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22332270 + ... + 22344306.

It is an arithmetic number, because the mean of its divisors is an integer number (2821225680).

Almost surely, 2^268885972656 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 268885972656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451396108800).

268885972656 is an abundant number, since it is smaller than the sum of its proper divisors (633906244944).

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

268885972656 is a wasteful number, since it uses less digits than its factorization.

268885972656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12233 (or 12221 counting only the distinct ones).

The product of its digits is 696729600, while the sum is 72.

The spelling of 268885972656 in words is "two hundred sixty-eight billion, eight hundred eighty-five million, nine hundred seventy-two thousand, six hundred fifty-six".