12564417504 has 192 divisors, whose sum is σ = 35158717440. Its totient is φ = 3922114560.

The previous prime is 12564417497. The next prime is 12564417577. The reversal of 12564417504 is 40571446521.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 17140722 + ... + 17141454.

It is an arithmetic number, because the mean of its divisors is an integer number (183118320).

Almost surely, 2^12564417504 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 12564417504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17579358720).

12564417504 is an abundant number, since it is smaller than the sum of its proper divisors (22594299936).

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

12564417504 is a wasteful number, since it uses less digits than its factorization.

12564417504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The spelling of 12564417504 in words is "twelve billion, five hundred sixty-four million, four hundred seventeen thousand, five hundred four".