166528514880 has 1008 divisors, whose sum is σ = 734594724864. Its totient is φ = 34302320640.

The previous prime is 166528514869. The next prime is 166528514947. The reversal of 166528514880 is 88415825661.

166528514880 is a `hidden beast` number, since 1 + 66 + 52 + 8 + 51 + 488 + 0 = 666.

166528514880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 78885025 + ... + 78887135.

It is an arithmetic number, because the mean of its divisors is an integer number (728764608).

Almost surely, 2^166528514880 is an apocalyptic number.

166528514880 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 166528514880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367297362432).

166528514880 is an abundant number, since it is smaller than the sum of its proper divisors (568066209984).

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

166528514880 is a wasteful number, since it uses less digits than its factorization.

166528514880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 166528514880 in words is "one hundred sixty-six billion, five hundred twenty-eight million, five hundred fourteen thousand, eight hundred eighty".