12625678728 has 192 divisors, whose sum is σ = 40337060400. Its totient is φ = 3530096640.

The previous prime is 12625678727. The next prime is 12625678739. The reversal of 12625678728 is 82787652621.

12625678728 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 567 + 8 + 72 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6544486404 + 6081192324 = 80898^2 + 77982^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (12625678727) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 447768 + ... + 475128.

Almost surely, 2^12625678728 is an apocalyptic number.

12625678728 is a gapful number since it is divisible by the number (18) 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 12625678728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20168530200).

12625678728 is an abundant number, since it is smaller than the sum of its proper divisors (27711381672).

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

12625678728 is a wasteful number, since it uses less digits than its factorization.

12625678728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27432 (or 27425 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The spelling of 12625678728 in words is "twelve billion, six hundred twenty-five million, six hundred seventy-eight thousand, seven hundred twenty-eight".