268296026880 has 1152 divisors, whose sum is σ = 1073737728000. Its totient is φ = 56899584000.

The previous prime is 268296026863. The next prime is 268296026891. The reversal of 268296026880 is 88620692862.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 268296026880.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1776794805 + ... + 1776794955.

It is an arithmetic number, because the mean of its divisors is an integer number (932064000).

Almost surely, 2^268296026880 is an apocalyptic number.

268296026880 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 268296026880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536868864000).

268296026880 is an abundant number, since it is smaller than the sum of its proper divisors (805441701120).

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

268296026880 is a wasteful number, since it uses less digits than its factorization.

268296026880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 57.

The spelling of 268296026880 in words is "two hundred sixty-eight billion, two hundred ninety-six million, twenty-six thousand, eight hundred eighty".