13380837120 has 720 divisors, whose sum is σ = 55558863360. Its totient is φ = 3011862528.

The previous prime is 13380837103. The next prime is 13380837163. The reversal of 13380837120 is 2173808331.

13380837120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

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 79 ways as a sum of consecutive naturals, for example, 74753191 + ... + 74753369.

It is an arithmetic number, because the mean of its divisors is an integer number (77165088).

Almost surely, 2^13380837120 is an apocalyptic number.

13380837120 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 13380837120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27779431680).

13380837120 is an abundant number, since it is smaller than the sum of its proper divisors (42178026240).

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

13380837120 is a wasteful number, since it uses less digits than its factorization.

13380837120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 13380837120 in words is "thirteen billion, three hundred eighty million, eight hundred thirty-seven thousand, one hundred twenty".