12588286464 has 480 divisors, whose sum is σ = 41747369664. Its totient is φ = 3762339840.

The previous prime is 12588286397. The next prime is 12588286481. The reversal of 12588286464 is 46468288521.

12588286464 is a `hidden beast` number, since 1 + 25 + 8 + 82 + 86 + 464 = 666.

It is a Smith number, since the sum of its digits (54) 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 (54).

It is a self number, because there is not a number n which added to its sum of digits gives 12588286464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69548454 + ... + 69548634.

Almost surely, 2^12588286464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12588286464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20873684832).

12588286464 is an abundant number, since it is smaller than the sum of its proper divisors (29159083200).

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

12588286464 is an equidigital number, since it uses as much as digits as its factorization.

12588286464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 242 counting only the distinct ones).

The product of its digits is 5898240, while the sum is 54.

The spelling of 12588286464 in words is "twelve billion, five hundred eighty-eight million, two hundred eighty-six thousand, four hundred sixty-four".