12726926909760 has 336 divisors, whose sum is σ = 47216040915456. Its totient is φ = 2895964581888.

The previous prime is 12726926909731. The next prime is 12726926909779. The reversal of 12726926909760 is 6790962962721.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 12726926909691 and 12726926909700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9883294 + ... + 11096546.

It is an arithmetic number, because the mean of its divisors is an integer number (140523931296).

Almost surely, 2^{12726926909760} is an apocalyptic number.

12726926909760 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 12726926909760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23608020457728).

12726926909760 is an abundant number, since it is smaller than the sum of its proper divisors (34489114005696).

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

12726926909760 is a wasteful number, since it uses less digits than its factorization.

12726926909760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213510 (or 1213493 counting only the distinct ones).

The product of its (nonzero) digits is 61725888, while the sum is 66.

The spelling of 12726926909760 in words is "twelve trillion, seven hundred twenty-six billion, nine hundred twenty-six million, nine hundred nine thousand, seven hundred sixty".