13780119168 has 160 divisors (see below), whose sum is σ = 42793169760. Its totient is φ = 4393585152.

The previous prime is 13780119149. The next prime is 13780119169. The reversal of 13780119168 is 86191108731.

13780119168 is a `hidden beast` number, since 1 + 378 + 0 + 119 + 168 = 666.

It is not an unprimeable number, because it can be changed into a prime (13780119169) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 209571 + ... + 267357.

It is an arithmetic number, because the mean of its divisors is an integer number (267457311).

Almost surely, 2^13780119168 is an apocalyptic number.

13780119168 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 13780119168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21396584880).

13780119168 is an abundant number, since it is smaller than the sum of its proper divisors (29013050592).

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

13780119168 is an equidigital number, since it uses as much as digits as its factorization.

13780119168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57836 (or 57815 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The spelling of 13780119168 in words is "thirteen billion, seven hundred eighty million, one hundred nineteen thousand, one hundred sixty-eight".