12586488838560 has 768 divisors, whose sum is σ = 54336609976320. Its totient is φ = 2649836851200.

The previous prime is 12586488838549. The next prime is 12586488838591. The reversal of 12586488838560 is 6583888468521.

12586488838560 is a `hidden beast` number, since 1 + 2 + 5 + 8 + 6 + 488 + 8 + 3 + 85 + 60 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 181979985 + ... + 182049135.

It is an arithmetic number, because the mean of its divisors is an integer number (70750794240).

Almost surely, 2^{12586488838560} is an apocalyptic number.

12586488838560 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 12586488838560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27168304988160).

12586488838560 is an abundant number, since it is smaller than the sum of its proper divisors (41750121137760).

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

12586488838560 is a wasteful number, since it uses less digits than its factorization.

12586488838560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69658 (or 69644 counting only the distinct ones).

The product of its (nonzero) digits is 707788800, while the sum is 72.

The spelling of 12586488838560 in words is "twelve trillion, five hundred eighty-six billion, four hundred eighty-eight million, eight hundred thirty-eight thousand, five hundred sixty".