166002130944000 has 3040 divisors, whose sum is σ = 708268518974016. Its totient is φ = 38322516787200.

The previous prime is 166002130943959. The next prime is 166002130944007. The reversal of 166002130944000 is 449031200661.

166002130944000 is a `hidden beast` number, since 1 + 6 + 600 + 2 + 1 + 3 + 0 + 9 + 4 + 40 + 0 + 0 = 666.

It is a super-2 number, since 2×166002130944000² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (166002130944007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 586579967859 + ... + 586579968141.

Almost surely, 2^{166002130944000} is an apocalyptic number.

166002130944000 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 166002130944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354134259487008).

166002130944000 is an abundant number, since it is smaller than the sum of its proper divisors (542266388030016).

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

166002130944000 is an frugal number, since it uses more digits than its factorization.

166002130944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 166002130944000 in words is "one hundred sixty-six trillion, two billion, one hundred thirty million, nine hundred forty-four thousand".