1066560656601 has 96 divisors (see below), whose sum is σ = 1725397244928. Its totient is φ = 582912000000.

The previous prime is 1066560656573. The next prime is 1066560656617.

1066560656601 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1066560656601 - 2¹⁵ = 1066560623833 is a prime.

It is a super-2 number, since 2×1066560656601² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1066560651601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19293801 + ... + 19349001.

It is an arithmetic number, because the mean of its divisors is an integer number (17972887968).

Almost surely, 2^{1066560656601} is an apocalyptic number.

1066560656601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1066560656601 is a deficient number, since it is larger than the sum of its proper divisors (658836588327).

1066560656601 is a wasteful number, since it uses less digits than its factorization.

1066560656601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55375 (or 55364 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The spelling of 1066560656601 in words is "one trillion, sixty-six billion, five hundred sixty million, six hundred fifty-six thousand, six hundred one".