166581360000 has 1920 divisors, whose sum is σ = 730723593600. Its totient is φ = 37324800000.

The previous prime is 166581359977. The next prime is 166581360161. The reversal of 166581360000 is 63185661.

It is a happy number.

166581360000 is a `hidden beast` number, since 16 + 6 + 581 + 3 + 60 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4062959980 + ... + 4062960020.

It is an arithmetic number, because the mean of its divisors is an integer number (380585205).

Almost surely, 2^166581360000 is an apocalyptic number.

166581360000 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 166581360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365361796800).

166581360000 is an abundant number, since it is smaller than the sum of its proper divisors (564142233600).

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

166581360000 is an equidigital number, since it uses as much as digits as its factorization.

166581360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 166581360000 in words is "one hundred sixty-six billion, five hundred eighty-one million, three hundred sixty thousand".