13278711168 has 192 divisors, whose sum is σ = 39754540800. Its totient is φ = 4249190400.

The previous prime is 13278711161. The next prime is 13278711263. The reversal of 13278711168 is 86111787231.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13278711161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6379888 + ... + 6381968.

It is an arithmetic number, because the mean of its divisors is an integer number (207054900).

Almost surely, 2^13278711168 is an apocalyptic number.

13278711168 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 13278711168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19877270400).

13278711168 is an abundant number, since it is smaller than the sum of its proper divisors (26475829632).

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

13278711168 is a wasteful number, since it uses less digits than its factorization.

13278711168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2321 (or 2306 counting only the distinct ones).

The product of its digits is 112896, while the sum is 45.

The spelling of 13278711168 in words is "thirteen billion, two hundred seventy-eight million, seven hundred eleven thousand, one hundred sixty-eight".