12671675660 has 192 divisors, whose sum is σ = 33139943424. Its totient is φ = 3975628800.

The previous prime is 12671675651. The next prime is 12671675693. The reversal of 12671675660 is 6657617621.

12671675660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6996155 + ... + 6997965.

It is an arithmetic number, because the mean of its divisors is an integer number (172603872).

Almost surely, 2^12671675660 is an apocalyptic number.

12671675660 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 12671675660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16569971712).

12671675660 is an abundant number, since it is smaller than the sum of its proper divisors (20468267764).

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

12671675660 is a wasteful number, since it uses less digits than its factorization.

12671675660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 47.

The spelling of 12671675660 in words is "twelve billion, six hundred seventy-one million, six hundred seventy-five thousand, six hundred sixty".