13286005056 has 168 divisors, whose sum is σ = 40160244800. Its totient is φ = 4187842560.

The previous prime is 13286004989. The next prime is 13286005063. The reversal of 13286005056 is 65050068231.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13286005056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10056876 + ... + 10058196.

Almost surely, 2^13286005056 is an apocalyptic number.

13286005056 is a gapful number since it is divisible by the number (16) 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 13286005056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20080122400).

13286005056 is an abundant number, since it is smaller than the sum of its proper divisors (26874239744).

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

13286005056 is a wasteful number, since it uses less digits than its factorization.

13286005056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277 (or 2264 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 13286005056 in words is "thirteen billion, two hundred eighty-six million, five thousand, fifty-six".