11680105958689 has 9 divisors (see below), whose sum is σ = 13587089862801. Its totient is φ = 10011498887460.

The previous prime is 11680105958641. The next prime is 11680105958707. The reversal of 11680105958689 is 98685950108611.

The square root of 11680105958689 is 3417617.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 11680105958689 - 2⁹ = 11680105958177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11680105958089) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23679204 + ... + 24167434.

Almost surely, 2^{11680105958689} is an apocalyptic number.

11680105958689 is the 3417617-th square number.

11680105958689 is the 1708809-th centered octagonal number.

It is an amenable number.

11680105958689 is a deficient number, since it is larger than the sum of its proper divisors (1906983904112).

11680105958689 is an frugal number, since it uses more digits than its factorization.

11680105958689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976476 (or 488238 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 67.

The spelling of 11680105958689 in words is "eleven trillion, six hundred eighty billion, one hundred five million, nine hundred fifty-eight thousand, six hundred eighty-nine".