86512819767 has 48 divisors (see below), whose sum is σ = 129185410176. Its totient is φ = 51059160000.

The previous prime is 86512819753. The next prime is 86512819769. The reversal of 86512819767 is 76791821568.

It is not a de Polignac number, because 86512819767 - 2¹⁸ = 86512557623 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 86512819767.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86512819769) 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, 21353892 + ... + 21357942.

It is an arithmetic number, because the mean of its divisors is an integer number (2691362712).

Almost surely, 2^86512819767 is an apocalyptic number.

86512819767 is a deficient number, since it is larger than the sum of its proper divisors (42672590409).

86512819767 is a wasteful number, since it uses less digits than its factorization.

86512819767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4332 (or 4229 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 60.

The spelling of 86512819767 in words is "eighty-six billion, five hundred twelve million, eight hundred nineteen thousand, seven hundred sixty-seven".