8117141760 has 1152 divisors, whose sum is σ = 37086336000. Its totient is φ = 1634992128.

The previous prime is 8117141749. The next prime is 8117141801. The reversal of 8117141760 is 671417118.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 91203796 + ... + 91203884.

It is an arithmetic number, because the mean of its divisors is an integer number (32193000).

Almost surely, 2^8117141760 is an apocalyptic number.

8117141760 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 8117141760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18543168000).

8117141760 is an abundant number, since it is smaller than the sum of its proper divisors (28969194240).

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

8117141760 is a wasteful number, since it uses less digits than its factorization.

8117141760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 36.

The square root of 8117141760 is about 90095.1816691659. The cubic root of 8117141760 is about 2009.7145506869.

Adding to 8117141760 its reverse (671417118), we get a palindrome (8788558878).

The spelling of 8117141760 in words is "eight billion, one hundred seventeen million, one hundred forty-one thousand, seven hundred sixty".