268889686560 has 576 divisors, whose sum is σ = 1041014467584. Its totient is φ = 65001139200.

The previous prime is 268889686547. The next prime is 268889686619. The reversal of 268889686560 is 65686988862.

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 95 ways as a sum of consecutive naturals, for example, 208279515 + ... + 208280805.

It is an arithmetic number, because the mean of its divisors is an integer number (1807316784).

Almost surely, 2^268889686560 is an apocalyptic number.

268889686560 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 268889686560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520507233792).

268889686560 is an abundant number, since it is smaller than the sum of its proper divisors (772124781024).

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

268889686560 is a wasteful number, since it uses less digits than its factorization.

268889686560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1819 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 477757440, while the sum is 72.

The spelling of 268889686560 in words is "two hundred sixty-eight billion, eight hundred eighty-nine million, six hundred eighty-six thousand, five hundred sixty".