12718938960 has 960 divisors, whose sum is σ = 58691243520. Its totient is φ = 2388787200.

The previous prime is 12718938949. The next prime is 12718938971. The reversal of 12718938960 is 6983981721.

12718938960 is a `hidden beast` number, since 1 + 27 + 189 + 389 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (12718938949) and next prime (12718938971).

It is a junction number, because it is equal to n+sod(n) for n = 12718938897 and 12718938906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21162660 + ... + 21163260.

It is an arithmetic number, because the mean of its divisors is an integer number (61136712).

Almost surely, 2^12718938960 is an apocalyptic number.

12718938960 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 12718938960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29345621760).

12718938960 is an abundant number, since it is smaller than the sum of its proper divisors (45972304560).

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

12718938960 is a wasteful number, since it uses less digits than its factorization.

12718938960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 12718938960 in words is "twelve billion, seven hundred eighteen million, nine hundred thirty-eight thousand, nine hundred sixty".