8585872686720 has 768 divisors, whose sum is σ = 34429861140480. Its totient is φ = 1930955120640.

The previous prime is 8585872686719. The next prime is 8585872686773. The reversal of 8585872686720 is 276862785858.

It is a super-2 number, since 2×8585872686720² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1565905099 + ... + 1565910581.

It is an arithmetic number, because the mean of its divisors is an integer number (44830548360).

Almost surely, 2^{8585872686720} is an apocalyptic number.

8585872686720 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 8585872686720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17214930570240).

8585872686720 is an abundant number, since it is smaller than the sum of its proper divisors (25843988453760).

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

8585872686720 is a wasteful number, since it uses less digits than its factorization.

8585872686720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6133 (or 6118 counting only the distinct ones).

The product of its (nonzero) digits is 722534400, while the sum is 72.

The spelling of 8585872686720 in words is "eight trillion, five hundred eighty-five billion, eight hundred seventy-two million, six hundred eighty-six thousand, seven hundred twenty".