12561238584 has 96 divisors (see below), whose sum is σ = 36081396000. Its totient is φ = 3939344640.

The previous prime is 12561238567. The next prime is 12561238633. The reversal of 12561238584 is 48583216521.

12561238584 is a `hidden beast` number, since 1 + 2 + 5 + 61 + 2 + 3 + 8 + 584 = 666.

12561238584 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 23 ways as a sum of consecutive naturals, for example, 38842 + ... + 163190.

It is an arithmetic number, because the mean of its divisors is an integer number (375847875).

Almost surely, 2^12561238584 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 12561238584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18040698000).

12561238584 is an abundant number, since it is smaller than the sum of its proper divisors (23520157416).

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

12561238584 is a wasteful number, since it uses less digits than its factorization.

12561238584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124445 (or 124438 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The spelling of 12561238584 in words is "twelve billion, five hundred sixty-one million, two hundred thirty-eight thousand, five hundred eighty-four".