12865693439760 has 320 divisors, whose sum is σ = 46522798540800. Its totient is φ = 2940018439680.

The previous prime is 12865693439723. The next prime is 12865693439773. The reversal of 12865693439760 is 6793439656821.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 388780815 + ... + 388813905.

It is an arithmetic number, because the mean of its divisors is an integer number (145383745440).

It is a 1-persistent number, because it is pandigital, but 2⋅12865693439760 = 25731386879520 is not.

Almost surely, 2^{12865693439760} is an apocalyptic number.

12865693439760 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 12865693439760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23261399270400).

12865693439760 is an abundant number, since it is smaller than the sum of its proper divisors (33657105101040).

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

12865693439760 is a wasteful number, since it uses less digits than its factorization.

12865693439760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37851 (or 37831 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 69.

The spelling of 12865693439760 in words is "twelve trillion, eight hundred sixty-five billion, six hundred ninety-three million, four hundred thirty-nine thousand, seven hundred sixty".