12752965723728 has 160 divisors (see below), whose sum is σ = 34147414425600. Its totient is φ = 4096996185600.

The previous prime is 12752965723709. The next prime is 12752965723739. The reversal of 12752965723728 is 82732756925721.

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 31 ways as a sum of consecutive naturals, for example, 1512623673 + ... + 1512632103.

It is an arithmetic number, because the mean of its divisors is an integer number (213421340160).

Almost surely, 2^{12752965723728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12752965723728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17073707212800).

12752965723728 is an abundant number, since it is smaller than the sum of its proper divisors (21394448701872).

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

12752965723728 is a wasteful number, since it uses less digits than its factorization.

12752965723728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12521 (or 12515 counting only the distinct ones).

The product of its digits is 177811200, while the sum is 66.

The spelling of 12752965723728 in words is "twelve trillion, seven hundred fifty-two billion, nine hundred sixty-five million, seven hundred twenty-three thousand, seven hundred twenty-eight".