12742530584 has 64 divisors (see below), whose sum is σ = 28343900160. Its totient is φ = 5257203840.

The previous prime is 12742530551. The next prime is 12742530607. The reversal of 12742530584 is 48503524721.

12742530584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120869 + ... + 200235.

It is an arithmetic number, because the mean of its divisors is an integer number (442873440).

Almost surely, 2^12742530584 is an apocalyptic number.

12742530584 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 12742530584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14171950080).

12742530584 is an abundant number, since it is smaller than the sum of its proper divisors (15601369576).

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

12742530584 is a wasteful number, since it uses less digits than its factorization.

12742530584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79488 (or 79484 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 41.

The spelling of 12742530584 in words is "twelve billion, seven hundred forty-two million, five hundred thirty thousand, five hundred eighty-four".