66575633657566 has 16 divisors (see below), whose sum is σ = 111259859731200. Its totient is φ = 29617786733080.

The previous prime is 66575633657543. The next prime is 66575633657567.

66575633657566 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 66575633657492 and 66575633657501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66575633657567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32193245416 + ... + 32193247483.

It is an arithmetic number, because the mean of its divisors is an integer number (6953741233200).

Almost surely, 2^{66575633657566} is an apocalyptic number.

66575633657566 is a deficient number, since it is larger than the sum of its proper divisors (44684226073634).

66575633657566 is a wasteful number, since it uses less digits than its factorization.

66575633657566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64386492959.

The product of its digits is 12859560000, while the sum is 76.

The spelling of 66575633657566 in words is "sixty-six trillion, five hundred seventy-five billion, six hundred thirty-three million, six hundred fifty-seven thousand, five hundred sixty-six".