12861339460560 has 60 divisors (see below), whose sum is σ = 43192665024132. Its totient is φ = 3429690522624.

The previous prime is 12861339460481. The next prime is 12861339460691. The reversal of 12861339460560 is 6506493316821.

12861339460560 is a `hidden beast` number, since 1 + 2 + 8 + 6 + 1 + 3 + 39 + 46 + 0 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3586902663744 + 9274436796816 = 1893912^2 + 3045396^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a junction number, because it is equal to n+sod(n) for n = 12861339460497 and 12861339460506.

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, 8931485017 + ... + 8931486456.

Almost surely, 2^{12861339460560} is an apocalyptic number.

12861339460560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12861339460560 is an abundant number, since it is smaller than the sum of its proper divisors (30331325563572).

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

12861339460560 is a wasteful number, since it uses less digits than its factorization.

12861339460560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17862971492 (or 17862971483 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 12861339460560 in words is "twelve trillion, eight hundred sixty-one billion, three hundred thirty-nine million, four hundred sixty thousand, five hundred sixty".