8871919580160 has 2112 divisors, whose sum is σ = 40954283016192. Its totient is φ = 1789966024704.

The previous prime is 8871919580129. The next prime is 8871919580201. The reversal of 8871919580160 is 610859191788.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2604025177 + ... + 2604028583.

Almost surely, 2^{8871919580160} is an apocalyptic number.

8871919580160 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 8871919580160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20477141508096).

8871919580160 is an abundant number, since it is smaller than the sum of its proper divisors (32082363436032).

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

8871919580160 is a wasteful number, since it uses less digits than its factorization.

8871919580160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3490 (or 3460 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 63.

The spelling of 8871919580160 in words is "eight trillion, eight hundred seventy-one billion, nine hundred nineteen million, five hundred eighty thousand, one hundred sixty".