8501005856 has 96 divisors (see below), whose sum is σ = 20285717760. Its totient is φ = 3423338496.

The previous prime is 8501005813. The next prime is 8501005889. The reversal of 8501005856 is 6585001058.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2926901 + ... + 2929803.

It is an arithmetic number, because the mean of its divisors is an integer number (211309560).

Almost surely, 2^8501005856 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 8501005856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10142858880).

8501005856 is an abundant number, since it is smaller than the sum of its proper divisors (11784711904).

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

8501005856 is a wasteful number, since it uses less digits than its factorization.

8501005856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3706 (or 3698 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 38.

The square root of 8501005856 is about 92200.8994316216. The cubic root of 8501005856 is about 2040.9080489065.

It can be divided in two parts, 850 and 1005856, that multiplied together give a square (854977600 = 29240²).

The spelling of 8501005856 in words is "eight billion, five hundred one million, five thousand, eight hundred fifty-six".