86558641101 has 12 divisors (see below), whose sum is σ = 125116416828. Its totient is φ = 57665482944.

The previous prime is 86558641087. The next prime is 86558641109. The reversal of 86558641101 is 10114685568.

86558641101 is a `hidden beast` number, since 8 + 65 + 586 + 4 + 1 + 1 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 77481506025 + 9077135076 = 278355^2 + 95274^2 .

It is not a de Polignac number, because 86558641101 - 2¹⁷ = 86558510029 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86558641109) 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 11 ways as a sum of consecutive naturals, for example, 3342870 + ... + 3368663.

It is an arithmetic number, because the mean of its divisors is an integer number (10426368069).

Almost surely, 2^86558641101 is an apocalyptic number.

It is an amenable number.

86558641101 is a deficient number, since it is larger than the sum of its proper divisors (38557775727).

86558641101 is a wasteful number, since it uses less digits than its factorization.

86558641101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6712972 (or 6712969 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 86558641101 in words is "eighty-six billion, five hundred fifty-eight million, six hundred forty-one thousand, one hundred one".