86544488735180 has 288 divisors, whose sum is σ = 224944161716736. Its totient is φ = 27790831294464.

The previous prime is 86544488735161. The next prime is 86544488735209. The reversal of 86544488735180 is 8153788444568.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10978619519 + ... + 10978627401.

It is an arithmetic number, because the mean of its divisors is an integer number (781056117072).

Almost surely, 2^{86544488735180} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86544488735180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112472080858368).

86544488735180 is an abundant number, since it is smaller than the sum of its proper divisors (138399672981556).

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

86544488735180 is a wasteful number, since it uses less digits than its factorization.

86544488735180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11053 (or 11044 counting only the distinct ones).

The product of its (nonzero) digits is 825753600, while the sum is 71.

The spelling of 86544488735180 in words is "eighty-six trillion, five hundred forty-four billion, four hundred eighty-eight million, seven hundred thirty-five thousand, one hundred eighty".