13719214080 has 768 divisors, whose sum is σ = 57458419200. Its totient is φ = 3061186560.

The previous prime is 13719214073. The next prime is 13719214111. The reversal of 13719214080 is 8041291731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39536467 + ... + 39536813.

It is an arithmetic number, because the mean of its divisors is an integer number (74815650).

Almost surely, 2^13719214080 is an apocalyptic number.

13719214080 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 13719214080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28729209600).

13719214080 is an abundant number, since it is smaller than the sum of its proper divisors (43739205120).

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

13719214080 is a wasteful number, since it uses less digits than its factorization.

13719214080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 13719214080 in words is "thirteen billion, seven hundred nineteen million, two hundred fourteen thousand, eighty".