8160439173120 has 912 divisors, whose sum is σ = 30778750679040. Its totient is φ = 1988150427648.

The previous prime is 8160439173113. The next prime is 8160439173151. The reversal of 8160439173120 is 213719340618.

8160439173120 is a `hidden beast` number, since 8 + 1 + 604 + 3 + 9 + 1 + 7 + 31 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19475988271 + ... + 19475988689.

Almost surely, 2^{8160439173120} is an apocalyptic number.

8160439173120 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 8160439173120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15389375339520).

8160439173120 is an abundant number, since it is smaller than the sum of its proper divisors (22618311505920).

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

8160439173120 is a wasteful number, since it uses less digits than its factorization.

8160439173120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 8160439173120 in words is "eight trillion, one hundred sixty billion, four hundred thirty-nine million, one hundred seventy-three thousand, one hundred twenty".