56305813838399 has 32 divisors (see below), whose sum is σ = 58710048134400. Its totient is φ = 53934558289920.

The previous prime is 56305813838383. The next prime is 56305813838413. The reversal of 56305813838399 is 99383831850365.

56305813838399 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 7503720²-1.

It is a cyclic number.

It is not a de Polignac number, because 56305813838399 - 2⁴ = 56305813838383 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56305803838399) 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, 2033494547 + ... + 2033522235.

It is an arithmetic number, because the mean of its divisors is an integer number (1834689004200).

Almost surely, 2^{56305813838399} is an apocalyptic number.

56305813838399 is a deficient number, since it is larger than the sum of its proper divisors (2404234296001).

56305813838399 is a wasteful number, since it uses less digits than its factorization.

56305813838399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29075.

The product of its (nonzero) digits is 503884800, while the sum is 71.

The spelling of 56305813838399 in words is "fifty-six trillion, three hundred five billion, eight hundred thirteen million, eight hundred thirty-eight thousand, three hundred ninety-nine".