268923857922720 has 2304 divisors, whose sum is σ = 1263609545942016. Its totient is φ = 50268045312000.

The previous prime is 268923857922683. The next prime is 268923857922743. The reversal of 268923857922720 is 27229758329862.

It is a happy number.

268923857922720 is a `hidden beast` number, since 2 + 6 + 8 + 9 + 2 + 3 + 8 + 579 + 2 + 27 + 20 = 666.

268923857922720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 69795964314 + ... + 69795968166.

It is an arithmetic number, because the mean of its divisors is an integer number (548441643204).

Almost surely, 2^{268923857922720} is an apocalyptic number.

268923857922720 is a gapful number since it is divisible by the number (20) 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 268923857922720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631804772971008).

268923857922720 is an abundant number, since it is smaller than the sum of its proper divisors (994685688019296).

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

268923857922720 is a wasteful number, since it uses less digits than its factorization.

268923857922720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5127 (or 5116 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 268923857922720 in words is "two hundred sixty-eight trillion, nine hundred twenty-three billion, eight hundred fifty-seven million, nine hundred twenty-two thousand, seven hundred twenty".