10566307417664 has 56 divisors (see below), whose sum is σ = 20995616550720. Its totient is φ = 5276075245056.

The previous prime is 10566307417663. The next prime is 10566307417691. The reversal of 10566307417664 is 46671470366501.

It is a happy number.

It is a super-2 number, since 2×10566307417664² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10566307417663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 570618134 + ... + 570636650.

It is an arithmetic number, because the mean of its divisors is an integer number (374921724120).

Almost surely, 2^{10566307417664} is an apocalyptic number.

It is an amenable number.

10566307417664 is a deficient number, since it is larger than the sum of its proper divisors (10429309133056).

10566307417664 is a wasteful number, since it uses less digits than its factorization.

10566307417664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29995 (or 29985 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 56.

The spelling of 10566307417664 in words is "ten trillion, five hundred sixty-six billion, three hundred seven million, four hundred seventeen thousand, six hundred sixty-four".