12875861725632 has 280 divisors, whose sum is σ = 40225770541440. Its totient is φ = 4061119265280.

The previous prime is 12875861725607. The next prime is 12875861725673. The reversal of 12875861725632 is 23652716857821.

12875861725632 is a `hidden beast` number, since 1 + 2 + 8 + 7 + 5 + 8 + 61 + 7 + 2 + 563 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12875861725632.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 81377157 + ... + 81535227.

Almost surely, 2^{12875861725632} is an apocalyptic number.

12875861725632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12875861725632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20112885270720).

12875861725632 is an abundant number, since it is smaller than the sum of its proper divisors (27349908815808).

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

12875861725632 is a wasteful number, since it uses less digits than its factorization.

12875861725632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158941 (or 158922 counting only the distinct ones).

The product of its digits is 67737600, while the sum is 63.

The spelling of 12875861725632 in words is "twelve trillion, eight hundred seventy-five billion, eight hundred sixty-one million, seven hundred twenty-five thousand, six hundred thirty-two".