56065444456065 has 32 divisors (see below), whose sum is σ = 103616136925056. Its totient is φ = 25584231336960.

The previous prime is 56065444456051. The next prime is 56065444456069.

56065444456065 is nontrivially palindromic in base 10.

56065444456065 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 56065444456065 - 2³⁹ = 55515688642177 is a prime.

It is a super-2 number, since 2×56065444456065² (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (56065444456069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9993837562 + ... + 9993843171.

It is an arithmetic number, because the mean of its divisors is an integer number (3238004278908).

Almost surely, 2^{56065444456065} is an apocalyptic number.

56065444456065 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56065444456065 is a deficient number, since it is larger than the sum of its proper divisors (47550692468991).

56065444456065 is a wasteful number, since it uses less digits than its factorization.

56065444456065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19987680769.

The product of its (nonzero) digits is 207360000, while the sum is 60.

The spelling of 56065444456065 in words is "fifty-six trillion, sixty-five billion, four hundred forty-four million, four hundred fifty-six thousand, sixty-five".