173816541480960 has 1920 divisors, whose sum is σ = 732020751221760. Its totient is φ = 38622007001088.

The previous prime is 173816541480941. The next prime is 173816541480983. The reversal of 173816541480960 is 69084145618371.

173816541480960 is a `hidden beast` number, since 1 + 7 + 3 + 8 + 1 + 6 + 541 + 4 + 80 + 9 + 6 + 0 = 666.

173816541480960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1920).

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

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 159 ways as a sum of consecutive naturals, for example, 56673145347 + ... + 56673148413.

It is an arithmetic number, because the mean of its divisors is an integer number (381260807928).

Almost surely, 2^{173816541480960} is an apocalyptic number.

173816541480960 is a gapful number since it is divisible by the number (10) 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 173816541480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366010375610880).

173816541480960 is an abundant number, since it is smaller than the sum of its proper divisors (558204209740800).

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

173816541480960 is a wasteful number, since it uses less digits than its factorization.

173816541480960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3383 (or 3354 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 173816541480960 in words is "one hundred seventy-three trillion, eight hundred sixteen billion, five hundred forty-one million, four hundred eighty thousand, nine hundred sixty".