10806052531167 has 32 divisors (see below), whose sum is σ = 16021961280000. Its totient is φ = 7198188845760.

The previous prime is 10806052531151. The next prime is 10806052531189. The reversal of 10806052531167 is 76113525060801.

10806052531167 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 6 + 0 + 52 + 531 + 1 + 67 = 666.

It is not a de Polignac number, because 10806052531167 - 2⁴ = 10806052531151 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10806052539167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 403815334 + ... + 403842092.

It is an arithmetic number, because the mean of its divisors is an integer number (500686290000).

Almost surely, 2^{10806052531167} is an apocalyptic number.

10806052531167 is a deficient number, since it is larger than the sum of its proper divisors (5215908748833).

10806052531167 is a wasteful number, since it uses less digits than its factorization.

10806052531167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38348 (or 38342 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

Adding to 10806052531167 its reverse (76113525060801), we get a palindrome (86919577591968).

The spelling of 10806052531167 in words is "ten trillion, eight hundred six billion, fifty-two million, five hundred thirty-one thousand, one hundred sixty-seven".