13256742564 has 144 divisors (see below), whose sum is σ = 36830626560. Its totient is φ = 3995792640.

The previous prime is 13256742563. The next prime is 13256742593. The reversal of 13256742564 is 46524765231.

13256742564 is a `hidden beast` number, since 1 + 3 + 2 + 567 + 4 + 25 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (13256742563) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5547882 + ... + 5550270.

It is an arithmetic number, because the mean of its divisors is an integer number (255768240).

Almost surely, 2^13256742564 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 13256742564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18415313280).

13256742564 is an abundant number, since it is smaller than the sum of its proper divisors (23573883996).

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

13256742564 is a wasteful number, since it uses less digits than its factorization.

13256742564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2650 (or 2645 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The spelling of 13256742564 in words is "thirteen billion, two hundred fifty-six million, seven hundred forty-two thousand, five hundred sixty-four".