86584540368 has 160 divisors (see below), whose sum is σ = 237013401600. Its totient is φ = 27161630208.

The previous prime is 86584540249. The next prime is 86584540433. The reversal of 86584540368 is 86304548568.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170106898 + ... + 170107406.

It is an arithmetic number, because the mean of its divisors is an integer number (1481333760).

Almost surely, 2^86584540368 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 86584540368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118506700800).

86584540368 is an abundant number, since it is smaller than the sum of its proper divisors (150428861232).

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

86584540368 is a wasteful number, since it uses less digits than its factorization.

86584540368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 57.

The spelling of 86584540368 in words is "eighty-six billion, five hundred eighty-four million, five hundred forty thousand, three hundred sixty-eight".