12738261676527 has 16 divisors (see below), whose sum is σ = 18871599896160. Its totient is φ = 8492128948800.

The previous prime is 12738261676513. The next prime is 12738261676561. The reversal of 12738261676527 is 72567616283721.

It is a happy number.

12738261676527 is a `hidden beast` number, since 1 + 2 + 7 + 3 + 8 + 2 + 616 + 7 + 6 + 5 + 2 + 7 = 666.

It is not a de Polignac number, because 12738261676527 - 2¹⁵ = 12738261643759 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12738261676727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4316377 + ... + 6641357.

It is an arithmetic number, because the mean of its divisors is an integer number (1179474993510).

Almost surely, 2^{12738261676527} is an apocalyptic number.

12738261676527 is a deficient number, since it is larger than the sum of its proper divisors (6133338219633).

12738261676527 is a wasteful number, since it uses less digits than its factorization.

12738261676527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2527911 (or 2527905 counting only the distinct ones).

The product of its digits is 71124480, while the sum is 63.

The spelling of 12738261676527 in words is "twelve trillion, seven hundred thirty-eight billion, two hundred sixty-one million, six hundred seventy-six thousand, five hundred twenty-seven".