12786718560 has 432 divisors, whose sum is σ = 51512349168. Its totient is φ = 2656389120.

The previous prime is 12786718501. The next prime is 12786718579. The reversal of 12786718560 is 6581768721.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2843674 + ... + 2848166.

It is an arithmetic number, because the mean of its divisors is an integer number (119241549).

Almost surely, 2^12786718560 is an apocalyptic number.

12786718560 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 12786718560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25756174584).

12786718560 is an abundant number, since it is smaller than the sum of its proper divisors (38725630608).

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

12786718560 is a wasteful number, since it uses less digits than its factorization.

12786718560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4547 (or 4521 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 51.

The spelling of 12786718560 in words is "twelve billion, seven hundred eighty-six million, seven hundred eighteen thousand, five hundred sixty".