166873080528 has 1260 divisors, whose sum is σ = 657579578880. Its totient is φ = 40739086080.

The previous prime is 166873080511. The next prime is 166873080529. The reversal of 166873080528 is 825080378661.

166873080528 is a `hidden beast` number, since 1 + 6 + 6 + 8 + 7 + 30 + 80 + 528 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166873080529) 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 251 ways as a sum of consecutive naturals, for example, 1313961201 + ... + 1313961327.

Almost surely, 2^166873080528 is an apocalyptic number.

166873080528 is a gapful number since it is divisible by the number (18) 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 166873080528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328789789440).

166873080528 is an abundant number, since it is smaller than the sum of its proper divisors (490706498352).

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

166873080528 is a wasteful number, since it uses less digits than its factorization.

166873080528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 166873080528 in words is "one hundred sixty-six billion, eight hundred seventy-three million, eighty thousand, five hundred twenty-eight".