12681360887040 has 432 divisors, whose sum is σ = 46472084987328. Its totient is φ = 3181749141504.

The previous prime is 12681360886993. The next prime is 12681360887059. The reversal of 12681360887040 is 4078806318621.

12681360887040 is a `hidden beast` number, since 1 + 26 + 8 + 1 + 3 + 608 + 8 + 7 + 0 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 744771007 + ... + 744788033.

It is an arithmetic number, because the mean of its divisors is an integer number (107574270804).

Almost surely, 2^{12681360887040} is an apocalyptic number.

12681360887040 is a gapful number since it is divisible by the number (10) 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 12681360887040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23236042493664).

12681360887040 is an abundant number, since it is smaller than the sum of its proper divisors (33790724100288).

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

12681360887040 is a wasteful number, since it uses less digits than its factorization.

12681360887040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20874 (or 20857 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 12681360887040 in words is "twelve trillion, six hundred eighty-one billion, three hundred sixty million, eight hundred eighty-seven thousand, forty".