12519616544 has 48 divisors (see below), whose sum is σ = 26134313688. Its totient is φ = 5883359232.

The previous prime is 12519616523. The next prime is 12519616559. The reversal of 12519616544 is 44561691521.

It can be written as a sum of positive squares in 4 ways, for example, as 12503712400 + 15904144 = 111820^2 + 3988^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12519616495 and 12519616504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 383054 + ... + 414450.

Almost surely, 2^12519616544 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 12519616544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13067156844).

12519616544 is an abundant number, since it is smaller than the sum of its proper divisors (13614697144).

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

12519616544 is a wasteful number, since it uses less digits than its factorization.

12519616544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32157 (or 32149 counting only the distinct ones).

The product of its digits is 259200, while the sum is 44.

The spelling of 12519616544 in words is "twelve billion, five hundred nineteen million, six hundred sixteen thousand, five hundred forty-four".