86815475424 has 576 divisors, whose sum is σ = 282763353600. Its totient is φ = 25118539776.

The previous prime is 86815475399. The next prime is 86815475429. The reversal of 86815475424 is 42457451868.

86815475424 is a `hidden beast` number, since 8 + 68 + 154 + 7 + 5 + 424 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86815475429) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 485002567 + ... + 485002745.

It is an arithmetic number, because the mean of its divisors is an integer number (490908600).

Almost surely, 2^86815475424 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 86815475424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141381676800).

86815475424 is an abundant number, since it is smaller than the sum of its proper divisors (195947878176).

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

86815475424 is a wasteful number, since it uses less digits than its factorization.

86815475424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 356 counting only the distinct ones).

The product of its digits is 8601600, while the sum is 54.

The spelling of 86815475424 in words is "eighty-six billion, eight hundred fifteen million, four hundred seventy-five thousand, four hundred twenty-four".