166642588800 has 288 divisors, whose sum is σ = 596527394580. Its totient is φ = 44295413760.

The previous prime is 166642588759. The next prime is 166642588807. The reversal of 166642588800 is 8885246661.

It can be written as a sum of positive squares in 6 ways, for example, as 2286144 + 166640302656 = 1512^2 + 408216^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (166642588807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9120474 + ... + 9138726.

Almost surely, 2^166642588800 is an apocalyptic number.

166642588800 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 166642588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298263697290).

166642588800 is an abundant number, since it is smaller than the sum of its proper divisors (429884805780).

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

166642588800 is a wasteful number, since it uses less digits than its factorization.

166642588800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18600 (or 18580 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 166642588800 in words is "one hundred sixty-six billion, six hundred forty-two million, five hundred eighty-eight thousand, eight hundred".