12586488838561 has 16 divisors (see below), whose sum is σ = 14023050428160. Its totient is φ = 11198656487680.

The previous prime is 12586488838549. The next prime is 12586488838591. The reversal of 12586488838561 is 16583888468521.

It is a cyclic number.

It is not a de Polignac number, because 12586488838561 - 2¹¹ = 12586488836513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12586488838591) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55390185 + ... + 55616953.

It is an arithmetic number, because the mean of its divisors is an integer number (876440651760).

Almost surely, 2^{12586488838561} is an apocalyptic number.

12586488838561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12586488838561 is a deficient number, since it is larger than the sum of its proper divisors (1436561589599).

12586488838561 is a wasteful number, since it uses less digits than its factorization.

12586488838561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334184.

The product of its digits is 707788800, while the sum is 73.

The spelling of 12586488838561 in words is "twelve trillion, five hundred eighty-six billion, four hundred eighty-eight million, eight hundred thirty-eight thousand, five hundred sixty-one".