180166633920 has 504 divisors, whose sum is σ = 776333061504. Its totient is φ = 38012792832.

The previous prime is 180166633891. The next prime is 180166633957. The reversal of 180166633920 is 29336661081.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1785457 + ... + 1883663.

It is an arithmetic number, because the mean of its divisors is an integer number (1540343376).

Almost surely, 2^180166633920 is an apocalyptic number.

180166633920 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 180166633920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388166530752).

180166633920 is an abundant number, since it is smaller than the sum of its proper divisors (596166427584).

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

180166633920 is a wasteful number, since it uses less digits than its factorization.

180166633920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98257 (or 98237 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 180166633920 in words is "one hundred eighty billion, one hundred sixty-six million, six hundred thirty-three thousand, nine hundred twenty".