11680638675 has 24 divisors (see below), whose sum is σ = 19315620864. Its totient is φ = 6228502560.

The previous prime is 11680638661. The next prime is 11680638689. The reversal of 11680638675 is 57683608611.

11680638675 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11680638661) and next prime (11680638689).

It is not a de Polignac number, because 11680638675 - 2⁸ = 11680638419 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 512574 + ... + 534876.

It is an arithmetic number, because the mean of its divisors is an integer number (804817536).

Almost surely, 2^11680638675 is an apocalyptic number.

11680638675 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11680638675 is a deficient number, since it is larger than the sum of its proper divisors (7634982189).

11680638675 is a wasteful number, since it uses less digits than its factorization.

11680638675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29299 (or 29294 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 11680638675 in words is "eleven billion, six hundred eighty million, six hundred thirty-eight thousand, six hundred seventy-five".