13678182168680 has 128 divisors (see below), whose sum is σ = 31291036128000. Its totient is φ = 5380113070080.

The previous prime is 13678182168653. The next prime is 13678182168713. The reversal of 13678182168680 is 8686128187631.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4291866047 + ... + 4291869233.

It is an arithmetic number, because the mean of its divisors is an integer number (244461219750).

Almost surely, 2^{13678182168680} is an apocalyptic number.

13678182168680 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 13678182168680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15645518064000).

13678182168680 is an abundant number, since it is smaller than the sum of its proper divisors (17612853959320).

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

13678182168680 is a wasteful number, since it uses less digits than its factorization.

13678182168680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6747 (or 6743 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 65.

The spelling of 13678182168680 in words is "thirteen trillion, six hundred seventy-eight billion, one hundred eighty-two million, one hundred sixty-eight thousand, six hundred eighty".