166831382108160 has 5760 divisors, whose sum is σ = 796688940902400. Its totient is φ = 33047278387200.

The previous prime is 166831382108123. The next prime is 166831382108203. The reversal of 166831382108160 is 61801283138661.

It is a happy number.

166831382108160 is a `hidden beast` number, since 1 + 6 + 68 + 31 + 382 + 10 + 8 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a super-2 number, since 2×166831382108160² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 166831382108097 and 166831382108106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 2490020628447 + ... + 2490020628513.

It is an arithmetic number, because the mean of its divisors is an integer number (138314052240).

Almost surely, 2^{166831382108160} is an apocalyptic number.

166831382108160 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 166831382108160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398344470451200).

166831382108160 is an abundant number, since it is smaller than the sum of its proper divisors (629857558794240).

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

166831382108160 is an equidigital number, since it uses as much as digits as its factorization.

166831382108160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 166831382108160 in words is "one hundred sixty-six trillion, eight hundred thirty-one billion, three hundred eighty-two million, one hundred eight thousand, one hundred sixty".