12584842704 has 120 divisors (see below), whose sum is σ = 40333168512. Its totient is φ = 3588376320.

The previous prime is 12584842687. The next prime is 12584842709. The reversal of 12584842704 is 40724848521.

It is a self number, because there is not a number n which added to its sum of digits gives 12584842704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12584842709) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 494614 + ... + 519434.

Almost surely, 2^12584842704 is an apocalyptic number.

12584842704 is a gapful number since it is divisible by the number (14) 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 12584842704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20166584256).

12584842704 is an abundant number, since it is smaller than the sum of its proper divisors (27748325808).

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

12584842704 is a wasteful number, since it uses less digits than its factorization.

12584842704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25345 (or 25336 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 12584842704 in words is "twelve billion, five hundred eighty-four million, eight hundred forty-two thousand, seven hundred four".