12559485312 has 192 divisors, whose sum is σ = 39969830160. Its totient is φ = 3753492480.

The previous prime is 12559485299. The next prime is 12559485319. The reversal of 12559485312 is 21358495521.

12559485312 is a `hidden beast` number, since 1 + 2 + 5 + 594 + 8 + 53 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12559485319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 918268 + ... + 931844.

Almost surely, 2^12559485312 is an apocalyptic number.

12559485312 is a gapful number since it is divisible by the number (12) 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 12559485312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19984915080).

12559485312 is an abundant number, since it is smaller than the sum of its proper divisors (27410344848).

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

12559485312 is a wasteful number, since it uses less digits than its factorization.

12559485312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13681 (or 13666 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The spelling of 12559485312 in words is "twelve billion, five hundred fifty-nine million, four hundred eighty-five thousand, three hundred twelve".