268752113088 has 224 divisors, whose sum is σ = 738997890048. Its totient is φ = 86129971200.

The previous prime is 268752113057. The next prime is 268752113089. The reversal of 268752113088 is 880311257862.

It is a self number, because there is not a number n which added to its sum of digits gives 268752113088.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268752113089) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295007353 + ... + 295008263.

Almost surely, 2^268752113088 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 268752113088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369498945024).

268752113088 is an abundant number, since it is smaller than the sum of its proper divisors (470245776960).

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

268752113088 is a wasteful number, since it uses less digits than its factorization.

268752113088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The spelling of 268752113088 in words is "two hundred sixty-eight billion, seven hundred fifty-two million, one hundred thirteen thousand, eighty-eight".