11680011 has 32 divisors (see below), whose sum is σ = 20467200. Its totient is φ = 6441120.

The previous prime is 11679991. The next prime is 11680027. The reversal of 11680011 is 11008611.

It is not a de Polignac number, because 11680011 - 2⁶ = 11679947 is a prime.

It is a super-4 number, since 4×11680011⁴ (a number of 29 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (11680051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4416 + ... + 6546.

It is an arithmetic number, because the mean of its divisors is an integer number (639600).

Almost surely, 2^11680011 is an apocalyptic number.

11680011 is a deficient number, since it is larger than the sum of its proper divisors (8787189).

11680011 is a wasteful number, since it uses less digits than its factorization.

11680011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176 (or 2170 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

The square root of 11680011 is about 3417.6031074424. The cubic root of 11680011 is about 226.8895100343.

Adding to 11680011 its reverse (11008611), we get a palindrome (22688622).

The spelling of 11680011 in words is "eleven million, six hundred eighty thousand, eleven".