8638160160 has 192 divisors, whose sum is σ = 31256064000. Its totient is φ = 1964362752.

The previous prime is 8638160159. The next prime is 8638160203. The reversal of 8638160160 is 610618368.

It is a super-2 number, since 2×8638160160² (a number of 21 digits) contains 22 as substring.

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, 662181 + ... + 675099.

It is an arithmetic number, because the mean of its divisors is an integer number (162792000).

Almost surely, 2^8638160160 is an apocalyptic number.

8638160160 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 8638160160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15628032000).

8638160160 is an abundant number, since it is smaller than the sum of its proper divisors (22617903840).

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

8638160160 is a wasteful number, since it uses less digits than its factorization.

8638160160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13143 (or 13135 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 8638160160 is about 92941.7030186127. The cubic root of 8638160160 is about 2051.8254737210.

The spelling of 8638160160 in words is "eight billion, six hundred thirty-eight million, one hundred sixty thousand, one hundred sixty".