166528745856000 has 2816 divisors, whose sum is σ = 688322425190400. Its totient is φ = 39369572352000.

The previous prime is 166528745855993. The next prime is 166528745856019. The reversal of 166528745856000 is 658547825661.

166528745856000 is a `hidden beast` number, since 1 + 6 + 6 + 5 + 28 + 7 + 45 + 8 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 280824191704 + ... + 280824192296.

It is an arithmetic number, because the mean of its divisors is an integer number (244432679400).

Almost surely, 2^{166528745856000} is an apocalyptic number.

166528745856000 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 166528745856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344161212595200).

166528745856000 is an abundant number, since it is smaller than the sum of its proper divisors (521793679334400).

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

166528745856000 is a wasteful number, since it uses less digits than its factorization.

166528745856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 63.

The spelling of 166528745856000 in words is "one hundred sixty-six trillion, five hundred twenty-eight billion, seven hundred forty-five million, eight hundred fifty-six thousand".