10830732866217 has 96 divisors (see below), whose sum is σ = 17459821596672. Its totient is φ = 6467993532000.

The previous prime is 10830732866207. The next prime is 10830732866221. The reversal of 10830732866217 is 71266823703801.

It is a happy number.

10830732866217 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 0 + 7 + 3 + 2 + 8 + 6 + 621 + 7 = 666.

It is not a de Polignac number, because 10830732866217 - 2⁸ = 10830732865961 is a prime.

It is a super-2 number, since 2×10830732866217² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10830732866207) 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, 2833043568 + ... + 2833047390.

It is an arithmetic number, because the mean of its divisors is an integer number (181873141632).

Almost surely, 2^{10830732866217} is an apocalyptic number.

It is an amenable number.

10830732866217 is a deficient number, since it is larger than the sum of its proper divisors (6629088730455).

10830732866217 is a wasteful number, since it uses less digits than its factorization.

10830732866217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7264 (or 7239 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 10830732866217 in words is "ten trillion, eight hundred thirty billion, seven hundred thirty-two million, eight hundred sixty-six thousand, two hundred seventeen".