166173424320 has 448 divisors, whose sum is σ = 563399147520. Its totient is φ = 41422897152.

The previous prime is 166173424297. The next prime is 166173424327. The reversal of 166173424320 is 23424371661.

It is a super-2 number, since 2×166173424320² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (166173424327) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 152033694 + ... + 152034786.

Almost surely, 2^166173424320 is an apocalyptic number.

166173424320 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 166173424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281699573760).

166173424320 is an abundant number, since it is smaller than the sum of its proper divisors (397225723200).

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

166173424320 is a wasteful number, since it uses less digits than its factorization.

166173424320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

Adding to 166173424320 its reverse (23424371661), we get a palindrome (189597795981).

The spelling of 166173424320 in words is "one hundred sixty-six billion, one hundred seventy-three million, four hundred twenty-four thousand, three hundred twenty".