166289825520 has 1440 divisors, whose sum is σ = 752976806400. Its totient is φ = 31935098880.

The previous prime is 166289825503. The next prime is 166289825557. The reversal of 166289825520 is 25528982661.

166289825520 is a `hidden beast` number, since 1 + 6 + 6 + 2 + 8 + 9 + 82 + 552 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1196329611 + ... + 1196329749.

It is an arithmetic number, because the mean of its divisors is an integer number (522900560).

Almost surely, 2^166289825520 is an apocalyptic number.

166289825520 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 166289825520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376488403200).

166289825520 is an abundant number, since it is smaller than the sum of its proper divisors (586686980880).

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

166289825520 is a wasteful number, since it uses less digits than its factorization.

166289825520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 166289825520 in words is "one hundred sixty-six billion, two hundred eighty-nine million, eight hundred twenty-five thousand, five hundred twenty".