13722382080 has 216 divisors, whose sum is σ = 51794673840. Its totient is φ = 3326607360.

The previous prime is 13722382049. The next prime is 13722382111. The reversal of 13722382080 is 8028322731.

It is a happy number.

13722382080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13722382049) and next prime (13722382111).

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72576 + ... + 180864.

Almost surely, 2^13722382080 is an apocalyptic number.

13722382080 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 13722382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25897336920).

13722382080 is an abundant number, since it is smaller than the sum of its proper divisors (38072291760).

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

13722382080 is a wasteful number, since it uses less digits than its factorization.

13722382080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108327 (or 108310 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 13722382080 in words is "thirteen billion, seven hundred twenty-two million, three hundred eighty-two thousand, eighty".