8535105672 has 144 divisors (see below), whose sum is σ = 22989021840. Its totient is φ = 2640250944.

The previous prime is 8535105643. The next prime is 8535105713. The reversal of 8535105672 is 2765015358.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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 35 ways as a sum of consecutive naturals, for example, 30159243 + ... + 30159525.

It is an arithmetic number, because the mean of its divisors is an integer number (159645985).

Almost surely, 2^8535105672 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 8535105672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11494510920).

8535105672 is an abundant number, since it is smaller than the sum of its proper divisors (14453916168).

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

8535105672 is a wasteful number, since it uses less digits than its factorization.

8535105672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 42.

The square root of 8535105672 is about 92385.6356367157. The cubic root of 8535105672 is about 2043.6332849058.

The spelling of 8535105672 in words is "eight billion, five hundred thirty-five million, one hundred five thousand, six hundred seventy-two".