11160506656167 has 16 divisors (see below), whose sum is σ = 16234017366528. Its totient is φ = 6763712953280.

The previous prime is 11160506656153. The next prime is 11160506656181. The reversal of 11160506656167 is 76165660506111.

It is an interprime number because it is at equal distance from previous prime (11160506656153) and next prime (11160506656181).

It is a cyclic number.

It is not a de Polignac number, because 11160506656167 - 2⁸ = 11160506655911 is a prime.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11160506656127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4776198 + ... + 6718115.

It is an arithmetic number, because the mean of its divisors is an integer number (1014626085408).

Almost surely, 2^{11160506656167} is an apocalyptic number.

11160506656167 is a deficient number, since it is larger than the sum of its proper divisors (5073510710361).

11160506656167 is a wasteful number, since it uses less digits than its factorization.

11160506656167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11523750.

The product of its (nonzero) digits is 1360800, while the sum is 51.

The spelling of 11160506656167 in words is "eleven trillion, one hundred sixty billion, five hundred six million, six hundred fifty-six thousand, one hundred sixty-seven".