12725442576 has 320 divisors, whose sum is σ = 47522672640. Its totient is φ = 3161410560.

The previous prime is 12725442551. The next prime is 12725442647. The reversal of 12725442576 is 67524452721.

12725442576 is a `hidden beast` number, since 1 + 2 + 72 + 5 + 4 + 4 + 2 + 576 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 756756 + ... + 773388.

It is an arithmetic number, because the mean of its divisors is an integer number (148508352).

Almost surely, 2^12725442576 is an apocalyptic number.

12725442576 is a gapful number since it is divisible by the number (16) 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 12725442576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23761336320).

12725442576 is an abundant number, since it is smaller than the sum of its proper divisors (34797230064).

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

12725442576 is a wasteful number, since it uses less digits than its factorization.

12725442576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16691 (or 16679 counting only the distinct ones).

The product of its digits is 940800, while the sum is 45.

The spelling of 12725442576 in words is "twelve billion, seven hundred twenty-five million, four hundred forty-two thousand, five hundred seventy-six".