8507868160 has 264 divisors, whose sum is σ = 23208853248. Its totient is φ = 2987212800.

The previous prime is 8507868143. The next prime is 8507868181. The reversal of 8507868160 is 618687058.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19204899 + ... + 19205341.

Almost surely, 2^8507868160 is an apocalyptic number.

8507868160 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 8507868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11604426624).

8507868160 is an abundant number, since it is smaller than the sum of its proper divisors (14700985088).

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

8507868160 is a wasteful number, since it uses less digits than its factorization.

8507868160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 49.

The square root of 8507868160 is about 92238.1057914786. The cubic root of 8507868160 is about 2041.4570649040.

The spelling of 8507868160 in words is "eight billion, five hundred seven million, eight hundred sixty-eight thousand, one hundred sixty".