86571385101 has 24 divisors (see below), whose sum is σ = 125849366136. Its totient is φ = 57345361920.

The previous prime is 86571385073. The next prime is 86571385139. The reversal of 86571385101 is 10158317568.

86571385101 is a `hidden beast` number, since 8 + 65 + 71 + 3 + 8 + 510 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1286943876 + 85284441225 = 35874^2 + 292035^2 .

It is not a de Polignac number, because 86571385101 - 2⁷ = 86571384973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86571385151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 844251 + ... + 941223.

It is an arithmetic number, because the mean of its divisors is an integer number (5243723589).

Almost surely, 2^86571385101 is an apocalyptic number.

It is an amenable number.

86571385101 is a deficient number, since it is larger than the sum of its proper divisors (39277981035).

86571385101 is a wasteful number, since it uses less digits than its factorization.

86571385101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97613 (or 97610 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 86571385101 in words is "eighty-six billion, five hundred seventy-one million, three hundred eighty-five thousand, one hundred one".