12679842560 has 288 divisors, whose sum is σ = 38202458112. Its totient is φ = 3917168640.

The previous prime is 12679842493. The next prime is 12679842587. The reversal of 12679842560 is 6524897621.

It is a junction number, because it is equal to n+sod(n) for n = 12679842499 and 12679842508.

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, 12516614 + ... + 12517626.

It is an arithmetic number, because the mean of its divisors is an integer number (132647424).

Almost surely, 2^12679842560 is an apocalyptic number.

12679842560 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 12679842560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19101229056).

12679842560 is an abundant number, since it is smaller than the sum of its proper divisors (25522615552).

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

12679842560 is a wasteful number, since it uses less digits than its factorization.

12679842560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 50.

The spelling of 12679842560 in words is "twelve billion, six hundred seventy-nine million, eight hundred forty-two thousand, five hundred sixty".