12671517168 has 60 divisors (see below), whose sum is σ = 35474671440. Its totient is φ = 4222407168.

The previous prime is 12671517139. The next prime is 12671517179. The reversal of 12671517168 is 86171517621.

12671517168 is a `hidden beast` number, since 1 + 2 + 6 + 71 + 517 + 1 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 464680 + ... + 491192.

It is an arithmetic number, because the mean of its divisors is an integer number (591244524).

Almost surely, 2^12671517168 is an apocalyptic number.

12671517168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12671517168 is an abundant number, since it is smaller than the sum of its proper divisors (22803154272).

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

12671517168 is a wasteful number, since it uses less digits than its factorization.

12671517168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29846 (or 29837 counting only the distinct ones).

The product of its digits is 141120, while the sum is 45.

The spelling of 12671517168 in words is "twelve billion, six hundred seventy-one million, five hundred seventeen thousand, one hundred sixty-eight".