86785258768 has 20 divisors (see below), whose sum is σ = 181080780748. Its totient is φ = 40054734720.

The previous prime is 86785258759. The next prime is 86785258817.

86785258768 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 29677641984 + 57107616784 = 172272^2 + 238972^2 .

It is a super-2 number, since 2×86785258768² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 86785258697 and 86785258706.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 208618203 + ... + 208618618.

Almost surely, 2^86785258768 is an apocalyptic number.

It is an amenable number.

86785258768 is an abundant number, since it is smaller than the sum of its proper divisors (94295521980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86785258768 is a wasteful number, since it uses less digits than its factorization.

86785258768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417236842 (or 417236836 counting only the distinct ones).

The product of its digits is 361267200, while the sum is 70.

The spelling of 86785258768 in words is "eighty-six billion, seven hundred eighty-five million, two hundred fifty-eight thousand, seven hundred sixty-eight".