8685116160 has 288 divisors, whose sum is σ = 32037100032. Its totient is φ = 1964113920.

The previous prime is 8685116159. The next prime is 8685116173. The reversal of 8685116160 is 616115868.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2605695 + ... + 2609025.

Almost surely, 2^8685116160 is an apocalyptic number.

8685116160 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 8685116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16018550016).

8685116160 is an abundant number, since it is smaller than the sum of its proper divisors (23351983872).

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

8685116160 is a wasteful number, since it uses less digits than its factorization.

8685116160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3459 (or 3445 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The square root of 8685116160 is about 93193.9706204216. The cubic root of 8685116160 is about 2055.5365829637.

The spelling of 8685116160 in words is "eight billion, six hundred eighty-five million, one hundred sixteen thousand, one hundred sixty".