86465738000 has 40 divisors (see below), whose sum is σ = 209074159320. Its totient is φ = 34586294400.

The previous prime is 86465737993. The next prime is 86465738059. The reversal of 86465738000 is 83756468.

It can be written as a sum of positive squares in 4 ways, for example, as 7464268816 + 79001469184 = 86396^2 + 281072^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21614435 + ... + 21618434.

It is an arithmetic number, because the mean of its divisors is an integer number (5226853983).

Almost surely, 2^86465738000 is an apocalyptic number.

86465738000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86465738000 is an abundant number, since it is smaller than the sum of its proper divisors (122608421320).

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

86465738000 is a wasteful number, since it uses less digits than its factorization.

86465738000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43232892 (or 43232876 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 47.

The spelling of 86465738000 in words is "eighty-six billion, four hundred sixty-five million, seven hundred thirty-eight thousand".