86552315424 has 168 divisors, whose sum is σ = 270512581500. Its totient is φ = 27153543168.

The previous prime is 86552315389. The next prime is 86552315467. The reversal of 86552315424 is 42451325568.

86552315424 is a `hidden beast` number, since 86 + 5 + 5 + 23 + 1 + 542 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 83213787024 + 3338528400 = 288468^2 + 57780^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 86552315424.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 287452 + ... + 505700.

Almost surely, 2^86552315424 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 86552315424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135256290750).

86552315424 is an abundant number, since it is smaller than the sum of its proper divisors (183960266076).

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

86552315424 is a wasteful number, since it uses less digits than its factorization.

86552315424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218294 (or 218271 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 45.

It can be divided in two parts, 865 and 52315424, that added together give a square (52316289 = 7233²).

The spelling of 86552315424 in words is "eighty-six billion, five hundred fifty-two million, three hundred fifteen thousand, four hundred twenty-four".