86540964905 has 16 divisors (see below), whose sum is σ = 104654019600. Its totient is φ = 68697157632.

The previous prime is 86540964869. The next prime is 86540964907. The reversal of 86540964905 is 50946904568.

It can be written as a sum of positive squares in 8 ways, for example, as 11084720656 + 75456244249 = 105284^2 + 274693^2 .

It is a cyclic number.

It is not a de Polignac number, because 86540964905 - 2²⁰ = 86539916329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86540964907) 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, 668417 + ... + 787313.

It is an arithmetic number, because the mean of its divisors is an integer number (6540876225).

Almost surely, 2^86540964905 is an apocalyptic number.

It is an amenable number.

86540964905 is a deficient number, since it is larger than the sum of its proper divisors (18113054695).

86540964905 is a wasteful number, since it uses less digits than its factorization.

86540964905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120028.

The product of its (nonzero) digits is 9331200, while the sum is 56.

The spelling of 86540964905 in words is "eighty-six billion, five hundred forty million, nine hundred sixty-four thousand, nine hundred five".