86583113011728 has 60 divisors (see below), whose sum is σ = 242313482496748. Its totient is φ = 28860916135680.

The previous prime is 86583113011727. The next prime is 86583113011739. The reversal of 86583113011728 is 82711031138568.

86583113011728 is a `hidden beast` number, since 8 + 6 + 5 + 8 + 311 + 301 + 17 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 77388827656464 + 9194285355264 = 8797092^2 + 3032208^2 .

It is not an unprimeable number, because it can be changed into a prime (86583113011727) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37064226 + ... + 39330942.

Almost surely, 2^{86583113011728} is an apocalyptic number.

It is an amenable number.

86583113011728 is an abundant number, since it is smaller than the sum of its proper divisors (155730369485020).

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

86583113011728 is a wasteful number, since it uses less digits than its factorization.

86583113011728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2531992 (or 2531983 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 86583113011728 in words is "eighty-six trillion, five hundred eighty-three billion, one hundred thirteen million, eleven thousand, seven hundred twenty-eight".