180166995360 has 1536 divisors, whose sum is σ = 770582937600. Its totient is φ = 38817792000.

The previous prime is 180166995301. The next prime is 180166995383. The reversal of 180166995360 is 63599661081.

180166995360 is a `hidden beast` number, since 1 + 8 + 0 + 16 + 6 + 99 + 536 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 180166995297 and 180166995306.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1147560402 + ... + 1147560558.

It is an arithmetic number, because the mean of its divisors is an integer number (501681600).

Almost surely, 2^180166995360 is an apocalyptic number.

180166995360 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 180166995360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385291468800).

180166995360 is an abundant number, since it is smaller than the sum of its proper divisors (590415942240).

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

180166995360 is a wasteful number, since it uses less digits than its factorization.

180166995360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 180166995360 in words is "one hundred eighty billion, one hundred sixty-six million, nine hundred ninety-five thousand, three hundred sixty".