86365135584 has 288 divisors, whose sum is σ = 302614341120. Its totient is φ = 22752285696.

The previous prime is 86365135583. The next prime is 86365135729. The reversal of 86365135584 is 48553156368.

It is a happy number.

86365135584 is a `hidden beast` number, since 8 + 6 + 3 + 6 + 51 + 3 + 5 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 86365135584.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86365135583) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41381389 + ... + 41383475.

It is an arithmetic number, because the mean of its divisors is an integer number (1050744240).

Almost surely, 2^86365135584 is an apocalyptic number.

86365135584 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86365135584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151307170560).

86365135584 is an abundant number, since it is smaller than the sum of its proper divisors (216249205536).

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

86365135584 is a wasteful number, since it uses less digits than its factorization.

86365135584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3702 (or 3691 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 54.

The spelling of 86365135584 in words is "eighty-six billion, three hundred sixty-five million, one hundred thirty-five thousand, five hundred eighty-four".