8705120256 has 576 divisors, whose sum is σ = 31276627200. Its totient is φ = 2277310464.

The previous prime is 8705120239. The next prime is 8705120297. The reversal of 8705120256 is 6520215078.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 8705120256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129927135 + ... + 129927201.

It is an arithmetic number, because the mean of its divisors is an integer number (54299700).

Almost surely, 2^8705120256 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 8705120256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15638313600).

8705120256 is an abundant number, since it is smaller than the sum of its proper divisors (22571506944).

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

8705120256 is a wasteful number, since it uses less digits than its factorization.

8705120256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 8705120256 is about 93301.2339468241. The cubic root of 8705120256 is about 2057.1135191583.

The spelling of 8705120256 in words is "eight billion, seven hundred five million, one hundred twenty thousand, two hundred fifty-six".