56782028765 has 24 divisors (see below), whose sum is σ = 85595395200. Its totient is φ = 35396586720.

The previous prime is 56782028759. The next prime is 56782028801.

It is a happy number.

56782028765 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56782028765 - 2¹⁰ = 56782027741 is a prime.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 56782028765.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6699665 + ... + 6708134.

It is an arithmetic number, because the mean of its divisors is an integer number (3566474800).

Almost surely, 2^56782028765 is an apocalyptic number.

56782028765 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56782028765 is a deficient number, since it is larger than the sum of its proper divisors (28813366435).

56782028765 is a wasteful number, since it uses less digits than its factorization.

56782028765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13407833 (or 13407822 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 56.

The spelling of 56782028765 in words is "fifty-six billion, seven hundred eighty-two million, twenty-eight thousand, seven hundred sixty-five".