12585167679672 has 144 divisors (see below), whose sum is σ = 41373599426640. Its totient is φ = 3439424685312.

The previous prime is 12585167679611. The next prime is 12585167679683. The reversal of 12585167679672 is 27697676158521.

12585167679672 is a `hidden beast` number, since 1 + 258 + 5 + 167 + 67 + 96 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 12585167679672.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 77467213 + ... + 77629500.

It is an arithmetic number, because the mean of its divisors is an integer number (287316662685).

Almost surely, 2^{12585167679672} is an apocalyptic number.

12585167679672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12585167679672 is an abundant number, since it is smaller than the sum of its proper divisors (28788431746968).

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

12585167679672 is a wasteful number, since it uses less digits than its factorization.

12585167679672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155096762 (or 155096748 counting only the distinct ones).

The product of its digits is 533433600, while the sum is 72.

The spelling of 12585167679672 in words is "twelve trillion, five hundred eighty-five billion, one hundred sixty-seven million, six hundred seventy-nine thousand, six hundred seventy-two".