12879865645560 has 192 divisors, whose sum is σ = 42488930484000. Its totient is φ = 3383001566208.

The previous prime is 12879865645487. The next prime is 12879865645573. The reversal of 12879865645560 is 6554656897821.

12879865645560 is a `hidden beast` number, since 1 + 2 + 8 + 7 + 9 + 8 + 6 + 5 + 64 + 556 + 0 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

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, 278538762 + ... + 278584998.

Almost surely, 2^{12879865645560} is an apocalyptic number.

12879865645560 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 12879865645560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21244465242000).

12879865645560 is an abundant number, since it is smaller than the sum of its proper divisors (29609064838440).

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

12879865645560 is a wasteful number, since it uses less digits than its factorization.

12879865645560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57870 (or 57863 counting only the distinct ones).

The product of its (nonzero) digits is 870912000, while the sum is 72.

The spelling of 12879865645560 in words is "twelve trillion, eight hundred seventy-nine billion, eight hundred sixty-five million, six hundred forty-five thousand, five hundred sixty".