180181801800 has 864 divisors, whose sum is σ = 818701141440. Its totient is φ = 34556544000.

The previous prime is 180181801783. The next prime is 180181801831. The reversal of 180181801800 is 8108181081.

180181801800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 19815255 + ... + 19824345.

Almost surely, 2^180181801800 is an apocalyptic number.

180181801800 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 180181801800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409350570720).

180181801800 is an abundant number, since it is smaller than the sum of its proper divisors (638519339640).

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

180181801800 is a wasteful number, since it uses less digits than its factorization.

180181801800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9155 (or 9132 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 36.

Adding to 180181801800 its reverse (8108181081), we get a palindrome (188289982881).

It can be divided in two parts, 18018 and 1801800, that multiplied together give a square (32464832400 = 180180²).

The spelling of 180181801800 in words is "one hundred eighty billion, one hundred eighty-one million, eight hundred one thousand, eight hundred".