12756768000 has 288 divisors, whose sum is σ = 42908890752. Its totient is φ = 3358720000.

The previous prime is 12756767987. The next prime is 12756768043. The reversal of 12756768000 is 86765721.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7967200 + ... + 7968800.

It is an arithmetic number, because the mean of its divisors is an integer number (148989204).

Almost surely, 2^12756768000 is an apocalyptic number.

12756768000 is a gapful number since it is divisible by the number (10) 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 12756768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21454445376).

12756768000 is an abundant number, since it is smaller than the sum of its proper divisors (30152122752).

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

12756768000 is an equidigital number, since it uses as much as digits as its factorization.

12756768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 12756768000 in words is "twelve billion, seven hundred fifty-six million, seven hundred sixty-eight thousand".