12679848160 has 192 divisors, whose sum is σ = 35561078784. Its totient is φ = 4180838400.

The previous prime is 12679848133. The next prime is 12679848173. The reversal of 12679848160 is 6184897621.

It is a junction number, because it is equal to n+sod(n) for n = 12679848098 and 12679848107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6005505 + ... + 6007615.

It is an arithmetic number, because the mean of its divisors is an integer number (185213952).

Almost surely, 2^12679848160 is an apocalyptic number.

12679848160 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 12679848160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17780539392).

12679848160 is an abundant number, since it is smaller than the sum of its proper divisors (22881230624).

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

12679848160 is a wasteful number, since it uses less digits than its factorization.

12679848160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2337 (or 2329 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 52.

The spelling of 12679848160 in words is "twelve billion, six hundred seventy-nine million, eight hundred forty-eight thousand, one hundred sixty".