268859281080 has 512 divisors, whose sum is σ = 922876416000. Its totient is φ = 62533785600.

The previous prime is 268859281073. The next prime is 268859281091. The reversal of 268859281080 is 80182958862.

268859281080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 268859281080.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 612435501 + ... + 612435939.

It is an arithmetic number, because the mean of its divisors is an integer number (1802493000).

Almost surely, 2^268859281080 is an apocalyptic number.

268859281080 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 268859281080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461438208000).

268859281080 is an abundant number, since it is smaller than the sum of its proper divisors (654017134920).

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

268859281080 is a wasteful number, since it uses less digits than its factorization.

268859281080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 57.

It can be divided in two parts, 2688592 and 81080, that added together give a palindrome (2769672).

The spelling of 268859281080 in words is "two hundred sixty-eight billion, eight hundred fifty-nine million, two hundred eighty-one thousand, eighty".