13726866960 has 320 divisors, whose sum is σ = 50496768000. Its totient is φ = 3419781120.

The previous prime is 13726866947. The next prime is 13726866983. The reversal of 13726866960 is 6966862731.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 13726866897 and 13726866906.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1938306 + ... + 1945374.

It is an arithmetic number, because the mean of its divisors is an integer number (157802400).

Almost surely, 2^13726866960 is an apocalyptic number.

13726866960 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 13726866960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25248384000).

13726866960 is an abundant number, since it is smaller than the sum of its proper divisors (36769901040).

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

13726866960 is a wasteful number, since it uses less digits than its factorization.

13726866960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7151 (or 7139 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 13726866960 in words is "thirteen billion, seven hundred twenty-six million, eight hundred sixty-six thousand, nine hundred sixty".