13570589664 has 144 divisors (see below), whose sum is σ = 40529099520. Its totient is φ = 4466067840.

The previous prime is 13570589653. The next prime is 13570589731. The reversal of 13570589664 is 46698507531.

13570589664 is a `hidden beast` number, since 1 + 3 + 57 + 0 + 589 + 6 + 6 + 4 = 666.

13570589664 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 (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 13570589664.

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, 603259 + ... + 625349.

It is an arithmetic number, because the mean of its divisors is an integer number (281452080).

Almost surely, 2^13570589664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13570589664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20264549760).

13570589664 is an abundant number, since it is smaller than the sum of its proper divisors (26958509856).

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

13570589664 is an equidigital number, since it uses as much as digits as its factorization.

13570589664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22195 (or 22175 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 13570589664 in words is "thirteen billion, five hundred seventy million, five hundred eighty-nine thousand, six hundred sixty-four".