11200117967 has 16 divisors (see below), whose sum is σ = 12185478240. Its totient is φ = 10258005888.

The previous prime is 11200117921. The next prime is 11200117979. The reversal of 11200117967 is 76971100211.

It is a cyclic number.

It is not a de Polignac number, because 11200117967 - 2⁸ = 11200117711 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200117987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59633 + ... + 161109.

It is an arithmetic number, because the mean of its divisors is an integer number (761592390).

Almost surely, 2^11200117967 is an apocalyptic number.

11200117967 is a deficient number, since it is larger than the sum of its proper divisors (985360273).

11200117967 is a wasteful number, since it uses less digits than its factorization.

11200117967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101690.

The product of its (nonzero) digits is 5292, while the sum is 35.

The spelling of 11200117967 in words is "eleven billion, two hundred million, one hundred seventeen thousand, nine hundred sixty-seven".