13717956840 has 128 divisors (see below), whose sum is σ = 47127951360. Its totient is φ = 3129202944.

The previous prime is 13717956821. The next prime is 13717956893. The reversal of 13717956840 is 4865971731.

It is a happy number.

13717956840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

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, 406287 + ... + 438753.

It is an arithmetic number, because the mean of its divisors is an integer number (368187120).

Almost surely, 2^13717956840 is an apocalyptic number.

13717956840 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 13717956840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23563975680).

13717956840 is an abundant number, since it is smaller than the sum of its proper divisors (33409994520).

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

13717956840 is a wasteful number, since it uses less digits than its factorization.

13717956840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32991 (or 32987 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The spelling of 13717956840 in words is "thirteen billion, seven hundred seventeen million, nine hundred fifty-six thousand, eight hundred forty".