86781418767 has 16 divisors (see below), whose sum is σ = 135331648000. Its totient is φ = 54809316792.

The previous prime is 86781418751. The next prime is 86781418813. The reversal of 86781418767 is 76781418768.

86781418767 is a `hidden beast` number, since 86 + 7 + 81 + 418 + 7 + 67 = 666.

It is not a de Polignac number, because 86781418767 - 2⁴ = 86781418751 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86781410767) 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, 84581767 + ... + 84582792.

It is an arithmetic number, because the mean of its divisors is an integer number (8458228000).

Almost surely, 2^86781418767 is an apocalyptic number.

86781418767 is a deficient number, since it is larger than the sum of its proper divisors (48550229233).

86781418767 is a wasteful number, since it uses less digits than its factorization.

86781418767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169164587 (or 169164581 counting only the distinct ones).

The product of its digits is 25288704, while the sum is 63.

Subtracting from 86781418767 its reverse (76781418768), we obtain a palindrome (9999999999).

The spelling of 86781418767 in words is "eighty-six billion, seven hundred eighty-one million, four hundred eighteen thousand, seven hundred sixty-seven".