56556633665565 has 48 divisors (see below), whose sum is σ = 106944535077120. Its totient is φ = 27421120621440.

The previous prime is 56556633665563. The next prime is 56556633665641.

56556633665565 is a `hidden beast` number, since 5 + 6 + 5 + 5 + 6 + 6 + 3 + 3 + 66 + 556 + 5 = 666.

56556633665565 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56556633665565 - 2¹ = 56556633665563 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 56556633665493 and 56556633665502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56556633665563) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53482371 + ... + 54529599.

It is an arithmetic number, because the mean of its divisors is an integer number (2228011147440).

Almost surely, 2^{56556633665565} is an apocalyptic number.

56556633665565 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56556633665565 is a deficient number, since it is larger than the sum of its proper divisors (50387901411555).

56556633665565 is a wasteful number, since it uses less digits than its factorization.

56556633665565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156354 (or 1156351 counting only the distinct ones).

The product of its digits is 6561000000, while the sum is 72.

The spelling of 56556633665565 in words is "fifty-six trillion, five hundred fifty-six billion, six hundred thirty-three million, six hundred sixty-five thousand, five hundred sixty-five".