13059325440 has 480 divisors, whose sum is σ = 53621568000. Its totient is φ = 2983993344.

The previous prime is 13059325427. The next prime is 13059325459. The reversal of 13059325440 is 4452395031.

13059325440 is a `hidden beast` number, since 1 + 3 + 0 + 593 + 25 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 13059325395 and 13059325404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4353061 + ... + 4356059.

It is an arithmetic number, because the mean of its divisors is an integer number (111711600).

Almost surely, 2^13059325440 is an apocalyptic number.

13059325440 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 13059325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26810784000).

13059325440 is an abundant number, since it is smaller than the sum of its proper divisors (40562242560).

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

13059325440 is an frugal number, since it uses more digits than its factorization.

13059325440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3044 (or 3016 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 13059325440 in words is "thirteen billion, fifty-nine million, three hundred twenty-five thousand, four hundred forty".