166173241927680 has 2688 divisors, whose sum is σ = 660263721062400. Its totient is φ = 39874782560256.

The previous prime is 166173241927669. The next prime is 166173241927691. The reversal of 166173241927680 is 86729142371661.

166173241927680 is a `hidden beast` number, since 1 + 6 + 6 + 1 + 73 + 2 + 419 + 2 + 76 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (166173241927669) and next prime (166173241927691).

It is a super-2 number, since 2×166173241927680² (a number of 29 digits) contains 22 as substring.

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 223 ways as a sum of consecutive naturals, for example, 1195490949051 + ... + 1195490949189.

It is an arithmetic number, because the mean of its divisors is an integer number (245633824800).

Almost surely, 2^{166173241927680} is an apocalyptic number.

166173241927680 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 166173241927680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330131860531200).

166173241927680 is an abundant number, since it is smaller than the sum of its proper divisors (494090479134720).

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

166173241927680 is a wasteful number, since it uses less digits than its factorization.

166173241927680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 166173241927680 in words is "one hundred sixty-six trillion, one hundred seventy-three billion, two hundred forty-one million, nine hundred twenty-seven thousand, six hundred eighty".