12626160768 has 320 divisors, whose sum is σ = 40873001400. Its totient is φ = 3845947392.

The previous prime is 12626160727. The next prime is 12626160773. The reversal of 12626160768 is 86706162621.

12626160768 is a `hidden beast` number, since 1 + 2 + 626 + 16 + 0 + 7 + 6 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5173637184 + 7452523584 = 71928^2 + 86328^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15230178 + ... + 15231006.

Almost surely, 2^12626160768 is an apocalyptic number.

12626160768 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 12626160768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20436500700).

12626160768 is an abundant number, since it is smaller than the sum of its proper divisors (28246840632).

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

12626160768 is a wasteful number, since it uses less digits than its factorization.

12626160768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 12626160768 in words is "twelve billion, six hundred twenty-six million, one hundred sixty thousand, seven hundred sixty-eight".