10820166561 has 24 divisors (see below), whose sum is σ = 16139345664. Its totient is φ = 6978134880.

The previous prime is 10820166557. The next prime is 10820166563. The reversal of 10820166561 is 16566102801.

10820166561 is a `hidden beast` number, since 1 + 0 + 82 + 0 + 16 + 6 + 561 = 666.

It is not a de Polignac number, because 10820166561 - 2² = 10820166557 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10820166563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 975730 + ... + 986756.

It is an arithmetic number, because the mean of its divisors is an integer number (672472736).

Almost surely, 2^10820166561 is an apocalyptic number.

It is an amenable number.

10820166561 is a deficient number, since it is larger than the sum of its proper divisors (5319179103).

10820166561 is a wasteful number, since it uses less digits than its factorization.

10820166561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14581 (or 14578 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 10820166561 in words is "ten billion, eight hundred twenty million, one hundred sixty-six thousand, five hundred sixty-one".