13388094720 has 1728 divisors, whose sum is σ = 65997195264. Its totient is φ = 2508226560.

The previous prime is 13388094719. The next prime is 13388094751. The reversal of 13388094720 is 2749088331.

13388094720 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 (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 311351019 + ... + 311351061.

Almost surely, 2^13388094720 is an apocalyptic number.

13388094720 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 13388094720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32998597632).

13388094720 is an abundant number, since it is smaller than the sum of its proper divisors (52609100544).

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

13388094720 is a wasteful number, since it uses less digits than its factorization.

13388094720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 13388094720 in words is "thirteen billion, three hundred eighty-eight million, ninety-four thousand, seven hundred twenty".