12957679930041 has 80 divisors (see below), whose sum is σ = 25552399847040. Its totient is φ = 6335305643520.

The previous prime is 12957679930033. The next prime is 12957679930057. The reversal of 12957679930041 is 14003997675921.

12957679930041 is a `hidden beast` number, since 1 + 29 + 576 + 7 + 9 + 9 + 30 + 0 + 4 + 1 = 666.

It is not a de Polignac number, because 12957679930041 - 2³ = 12957679930033 is a prime.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (12957679930031) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 60998386 + ... + 61210443.

It is an arithmetic number, because the mean of its divisors is an integer number (319404998088).

Almost surely, 2^{12957679930041} is an apocalyptic number.

12957679930041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12957679930041 is a deficient number, since it is larger than the sum of its proper divisors (12594719916999).

12957679930041 is a wasteful number, since it uses less digits than its factorization.

12957679930041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122208876 (or 122208867 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 63.

The spelling of 12957679930041 in words is "twelve trillion, nine hundred fifty-seven billion, six hundred seventy-nine million, nine hundred thirty thousand, forty-one".