13929864080 has 160 divisors (see below), whose sum is σ = 35816100480. Its totient is φ = 4996444160.

The previous prime is 13929863999. The next prime is 13929864101. The reversal of 13929864080 is 8046892931.

It is a happy number.

13929864080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13929864080² (a number of 21 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 27366866 + ... + 27367374.

It is an arithmetic number, because the mean of its divisors is an integer number (223850628).

Almost surely, 2^13929864080 is an apocalyptic number.

13929864080 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 13929864080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17908050240).

13929864080 is an abundant number, since it is smaller than the sum of its proper divisors (21886236400).

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

13929864080 is a wasteful number, since it uses less digits than its factorization.

13929864080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 50.

The spelling of 13929864080 in words is "thirteen billion, nine hundred twenty-nine million, eight hundred sixty-four thousand, eighty".