13684385880 has 384 divisors, whose sum is σ = 49956678720. Its totient is φ = 3220439040.

The previous prime is 13684385873. The next prime is 13684385917. The reversal of 13684385880 is 8858348631.

13684385880 is a `hidden beast` number, since 13 + 6 + 8 + 43 + 8 + 588 + 0 = 666.

13684385880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23716152 + ... + 23716728.

Almost surely, 2^13684385880 is an apocalyptic number.

13684385880 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 13684385880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24978339360).

13684385880 is an abundant number, since it is smaller than the sum of its proper divisors (36272292840).

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

13684385880 is a wasteful number, since it uses less digits than its factorization.

13684385880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 13684385880 in words is "thirteen billion, six hundred eighty-four million, three hundred eighty-five thousand, eight hundred eighty".