8535808864 has 48 divisors (see below), whose sum is σ = 18398043216. Its totient is φ = 3866060800.

The previous prime is 8535808849. The next prime is 8535808889. The reversal of 8535808864 is 4688085358.

It is a happy number.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

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 7 ways as a sum of consecutive naturals, for example, 55764 + ... + 142060.

It is an arithmetic number, because the mean of its divisors is an integer number (383292567).

Almost surely, 2^8535808864 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 8535808864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9199021608).

8535808864 is an abundant number, since it is smaller than the sum of its proper divisors (9862234352).

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

8535808864 is a wasteful number, since it uses less digits than its factorization.

8535808864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86599 (or 86591 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 55.

The square root of 8535808864 is about 92389.4413014821. The cubic root of 8535808864 is about 2043.6894071210.

The spelling of 8535808864 in words is "eight billion, five hundred thirty-five million, eight hundred eight thousand, eight hundred sixty-four".