12628738639660 has 288 divisors, whose sum is σ = 31515665545728. Its totient is φ = 4213686896640.

The previous prime is 12628738639637. The next prime is 12628738639663. The reversal of 12628738639660 is 6693683782621.

It is not an unprimeable number, because it can be changed into a prime (12628738639663) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8515669279 + ... + 8515670761.

It is an arithmetic number, because the mean of its divisors is an integer number (109429394256).

Almost surely, 2^{12628738639660} is an apocalyptic number.

12628738639660 is a gapful number since it is divisible by the number (10) 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 12628738639660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15757832772864).

12628738639660 is an abundant number, since it is smaller than the sum of its proper divisors (18886926906068).

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

12628738639660 is a wasteful number, since it uses less digits than its factorization.

12628738639660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2745 (or 2730 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 67.

The spelling of 12628738639660 in words is "twelve trillion, six hundred twenty-eight billion, seven hundred thirty-eight million, six hundred thirty-nine thousand, six hundred sixty".