8507856960 has 168 divisors, whose sum is σ = 30054764376. Its totient is φ = 2207416320.

The previous prime is 8507856937. The next prime is 8507856961. The reversal of 8507856960 is 696587058.

8507856960 is a `hidden beast` number, since 8 + 5 + 0 + 78 + 569 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3156641856 + 5351215104 = 56184^2 + 73152^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8507856897 and 8507856906.

It is not an unprimeable number, because it can be changed into a prime (8507856961) 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, 66640 + ... + 146480.

It is an arithmetic number, because the mean of its divisors is an integer number (178897407).

Almost surely, 2^8507856960 is an apocalyptic number.

8507856960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8507856960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15027382188).

8507856960 is an abundant number, since it is smaller than the sum of its proper divisors (21546907416).

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

8507856960 is a wasteful number, since it uses less digits than its factorization.

8507856960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79901 (or 79888 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The square root of 8507856960 is about 92238.0450790237. The cubic root of 8507856960 is about 2041.4561690928.

The spelling of 8507856960 in words is "eight billion, five hundred seven million, eight hundred fifty-six thousand, nine hundred sixty".