12866268576 has 192 divisors, whose sum is σ = 41083967232. Its totient is φ = 3441672192.

The previous prime is 12866268511. The next prime is 12866268577. The reversal of 12866268576 is 67586266821.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12866268577) 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, 2247670 + ... + 2253386.

It is an arithmetic number, because the mean of its divisors is an integer number (213978996).

Almost surely, 2^12866268576 is an apocalyptic number.

12866268576 is a gapful number since it is divisible by the number (16) 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 12866268576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20541983616).

12866268576 is an abundant number, since it is smaller than the sum of its proper divisors (28217698656).

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

12866268576 is a wasteful number, since it uses less digits than its factorization.

12866268576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5951 (or 5943 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 57.

The spelling of 12866268576 in words is "twelve billion, eight hundred sixty-six million, two hundred sixty-eight thousand, five hundred seventy-six".