12617815410375 has 128 divisors (see below), whose sum is σ = 25044534208512. Its totient is φ = 5521276800000.

The previous prime is 12617815410371. The next prime is 12617815410383. The reversal of 12617815410375 is 57301451871621.

It is not a de Polignac number, because 12617815410375 - 2² = 12617815410371 is a prime.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12617815410371) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4598100 + ... + 6810150.

It is an arithmetic number, because the mean of its divisors is an integer number (195660423504).

Almost surely, 2^{12617815410375} is an apocalyptic number.

12617815410375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12617815410375 is a deficient number, since it is larger than the sum of its proper divisors (12426718798137).

12617815410375 is a wasteful number, since it uses less digits than its factorization.

12617815410375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212170 (or 2212160 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 51.

The spelling of 12617815410375 in words is "twelve trillion, six hundred seventeen billion, eight hundred fifteen million, four hundred ten thousand, three hundred seventy-five".