86528105466 has 64 divisors (see below), whose sum is σ = 207365114880. Its totient is φ = 23760570240.

The previous prime is 86528105453. The next prime is 86528105563. The reversal of 86528105466 is 66450182568.

It is a super-2 number, since 2×86528105466² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1471195 + ... + 1528878.

It is an arithmetic number, because the mean of its divisors is an integer number (3240079920).

Almost surely, 2^86528105466 is an apocalyptic number.

86528105466 is an abundant number, since it is smaller than the sum of its proper divisors (120837009414).

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

86528105466 is a wasteful number, since it uses less digits than its factorization.

86528105466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3000131.

The product of its (nonzero) digits is 2764800, while the sum is 51.

It can be divided in two parts, 8652 and 8105466, that added together give a palindrome (8114118).

The spelling of 86528105466 in words is "eighty-six billion, five hundred twenty-eight million, one hundred five thousand, four hundred sixty-six".