86581705200 has 60 divisors (see below), whose sum is σ = 277350066168. Its totient is φ = 23088454400.

The previous prime is 86581705193. The next prime is 86581705213. The reversal of 86581705200 is 250718568.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36074511 + ... + 36076910.

Almost surely, 2^86581705200 is an apocalyptic number.

86581705200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86581705200 is an abundant number, since it is smaller than the sum of its proper divisors (190768360968).

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

86581705200 is a wasteful number, since it uses less digits than its factorization.

86581705200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72151442 (or 72151431 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 42.

The spelling of 86581705200 in words is "eighty-six billion, five hundred eighty-one million, seven hundred five thousand, two hundred".