166533120000 has 900 divisors, whose sum is σ = 652059367960. Its totient is φ = 40697856000.

The previous prime is 166533119989. The next prime is 166533120053. The reversal of 166533120000 is 21335661.

166533120000 is a `hidden beast` number, since 1 + 6 + 6 + 533 + 120 + 0 + 0 + 0 = 666.

166533120000 is digitally balanced in base 3, 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 (900).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1198079931 + ... + 1198080069.

Almost surely, 2^166533120000 is an apocalyptic number.

166533120000 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 166533120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326029683980).

166533120000 is an abundant number, since it is smaller than the sum of its proper divisors (485526247960).

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

166533120000 is an equidigital number, since it uses as much as digits as its factorization.

166533120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 166533120000 its reverse (21335661), we get a palindrome (166554455661).

The spelling of 166533120000 in words is "one hundred sixty-six billion, five hundred thirty-three million, one hundred twenty thousand".