56286766768265 has 64 divisors (see below), whose sum is σ = 79384255414272. Its totient is φ = 37885359916800.

The previous prime is 56286766768171. The next prime is 56286766768277.

56286766768265 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56286766768265 - 2²⁴ = 56286749991049 is a prime.

It is a super-2 number, since 2×56286766768265² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 56286766768265.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 200130479 + ... + 200411531.

It is an arithmetic number, because the mean of its divisors is an integer number (1240378990848).

Almost surely, 2^{56286766768265} is an apocalyptic number.

56286766768265 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56286766768265 is a deficient number, since it is larger than the sum of its proper divisors (23097488646007).

56286766768265 is a wasteful number, since it uses less digits than its factorization.

56286766768265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286230.

The product of its digits is 14631321600, while the sum is 80.

The spelling of 56286766768265 in words is "fifty-six trillion, two hundred eighty-six billion, seven hundred sixty-six million, seven hundred sixty-eight thousand, two hundred sixty-five".