13564001340 has 96 divisors (see below), whose sum is σ = 42221088000. Its totient is φ = 3615183936.

The previous prime is 13564001329. The next prime is 13564001359. The reversal of 13564001340 is 4310046531.

13564001340 is a `hidden beast` number, since 1 + 3 + 5 + 640 + 0 + 13 + 4 + 0 = 666.

13564001340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 1257691 + ... + 1268429.

It is an arithmetic number, because the mean of its divisors is an integer number (439803000).

Almost surely, 2^13564001340 is an apocalyptic number.

13564001340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13564001340 is an abundant number, since it is smaller than the sum of its proper divisors (28657086660).

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

13564001340 is a wasteful number, since it uses less digits than its factorization.

13564001340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13096 (or 13088 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 13564001340 its reverse (4310046531), we get a palindrome (17874047871).

The spelling of 13564001340 in words is "thirteen billion, five hundred sixty-four million, one thousand, three hundred forty".