166233011200 has 396 divisors, whose sum is σ = 442349863020. Its totient is φ = 61862707200.

The previous prime is 166233011179. The next prime is 166233011237. The reversal of 166233011200 is 2110332661.

It can be written as a sum of positive squares in 6 ways, for example, as 13470852096 + 152762159104 = 116064^2 + 390848^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 713446284 + ... + 713446516.

Almost surely, 2^166233011200 is an apocalyptic number.

166233011200 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 166233011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221174931510).

166233011200 is an abundant number, since it is smaller than the sum of its proper divisors (276116851820).

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

166233011200 is a wasteful number, since it uses less digits than its factorization.

166233011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 166233011200 its reverse (2110332661), we get a palindrome (168343343861).

The spelling of 166233011200 in words is "one hundred sixty-six billion, two hundred thirty-three million, eleven thousand, two hundred".