10580066211667 has 8 divisors (see below), whose sum is σ = 10779399565200. Its totient is φ = 10382443874400.

The previous prime is 10580066211569. The next prime is 10580066211679. The reversal of 10580066211667 is 76611266008501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10580066211667 - 2³⁵ = 10545706473299 is a prime.

It is a super-2 number, since 2×10580066211667² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10580066211667.

It is not an unprimeable number, because it can be changed into a prime (10580066211697) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 427741584 + ... + 427766317.

It is an arithmetic number, because the mean of its divisors is an integer number (1347424945650).

Almost surely, 2^{10580066211667} is an apocalyptic number.

10580066211667 is a deficient number, since it is larger than the sum of its proper divisors (199333353533).

10580066211667 is an equidigital number, since it uses as much as digits as its factorization.

10580066211667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855508133.

The product of its (nonzero) digits is 725760, while the sum is 49.

The spelling of 10580066211667 in words is "ten trillion, five hundred eighty billion, sixty-six million, two hundred eleven thousand, six hundred sixty-seven".