86531127111 has 48 divisors (see below), whose sum is σ = 151577567232. Its totient is φ = 46847419200.

The previous prime is 86531127103. The next prime is 86531127121. The reversal of 86531127111 is 11172113568.

It is a happy number.

86531127111 is a `hidden beast` number, since 8 + 6 + 531 + 1 + 2 + 7 + 111 = 666.

It is not a de Polignac number, because 86531127111 - 2³ = 86531127103 is a prime.

It is a super-3 number, since 3×86531127111³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86531127121) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1044535 + ... + 1124328.

It is an arithmetic number, because the mean of its divisors is an integer number (3157865984).

Almost surely, 2^86531127111 is an apocalyptic number.

86531127111 is a deficient number, since it is larger than the sum of its proper divisors (65046440121).

86531127111 is a wasteful number, since it uses less digits than its factorization.

86531127111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168924 (or 2168921 counting only the distinct ones).

The product of its digits is 10080, while the sum is 36.

The spelling of 86531127111 in words is "eighty-six billion, five hundred thirty-one million, one hundred twenty-seven thousand, one hundred eleven".