86541664514020 has 24 divisors (see below), whose sum is σ = 186170117322168. Its totient is φ = 33772356883200.

The previous prime is 86541664513987. The next prime is 86541664514027. The reversal of 86541664514020 is 2041546614568.

It can be written as a sum of positive squares in 4 ways, for example, as 1316714940324 + 85224949573696 = 1147482^2 + 9231736^2 .

It is not an unprimeable number, because it can be changed into a prime (86541664514027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52769306811 + ... + 52769308450.

It is an arithmetic number, because the mean of its divisors is an integer number (7757088221757).

Almost surely, 2^{86541664514020} is an apocalyptic number.

It is an amenable number.

86541664514020 is an abundant number, since it is smaller than the sum of its proper divisors (99628452808148).

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

86541664514020 is a wasteful number, since it uses less digits than its factorization.

86541664514020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105538615311 (or 105538615309 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 52.

The spelling of 86541664514020 in words is "eighty-six trillion, five hundred forty-one billion, six hundred sixty-four million, five hundred fourteen thousand, twenty".