8509059072 has 312 divisors, whose sum is σ = 26046593664. Its totient is φ = 2774974464.

The previous prime is 8509059067. The next prime is 8509059073. The reversal of 8509059072 is 2709509058.

It is a happy number.

8509059072 is a `hidden beast` number, since 8 + 50 + 9 + 0 + 590 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8509059073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82612173 + ... + 82612275.

It is an arithmetic number, because the mean of its divisors is an integer number (83482672).

Almost surely, 2^8509059072 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 8509059072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13023296832).

8509059072 is an abundant number, since it is smaller than the sum of its proper divisors (17537534592).

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

8509059072 is an equidigital number, since it uses as much as digits as its factorization.

8509059072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 8509059072 is about 92244.5612055258. The cubic root of 8509059072 is about 2041.5523132961.

The spelling of 8509059072 in words is "eight billion, five hundred nine million, fifty-nine thousand, seventy-two".