180805304160 has 576 divisors, whose sum is σ = 701438512320. Its totient is φ = 42042654720.

The previous prime is 180805304123. The next prime is 180805304167. The reversal of 180805304160 is 61403508081.

180805304160 is a `hidden beast` number, since 1 + 8 + 0 + 80 + 530 + 41 + 6 + 0 = 666.

It is a super-2 number, since 2×180805304160² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180805304167) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 205226920 + ... + 205227800.

It is an arithmetic number, because the mean of its divisors is an integer number (1217775195).

Almost surely, 2^180805304160 is an apocalyptic number.

180805304160 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 180805304160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350719256160).

180805304160 is an abundant number, since it is smaller than the sum of its proper divisors (520633208160).

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

180805304160 is a wasteful number, since it uses less digits than its factorization.

180805304160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1511 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 180805304160 in words is "one hundred eighty billion, eight hundred five million, three hundred four thousand, one hundred sixty".