166530394800 has 600 divisors, whose sum is σ = 745150973952. Its totient is φ = 34603200000.

The previous prime is 166530394769. The next prime is 166530394801. The reversal of 166530394800 is 8493035661.

166530394800 is a `hidden beast` number, since 1 + 6 + 6 + 530 + 39 + 4 + 80 + 0 = 666.

166530394800 is digitally balanced in base 2, 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 (600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (166530394801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2461425 + ... + 2528175.

Almost surely, 2^166530394800 is an apocalyptic number.

166530394800 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 166530394800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372575486976).

166530394800 is an abundant number, since it is smaller than the sum of its proper divisors (578620579152).

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

166530394800 is a wasteful number, since it uses less digits than its factorization.

166530394800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66799 (or 66779 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 166530394800 in words is "one hundred sixty-six billion, five hundred thirty million, three hundred ninety-four thousand, eight hundred".