180081000000 has 1176 divisors, whose sum is σ = 752227246368. Its totient is φ = 40704000000.

The previous prime is 180080999999. The next prime is 180081000061. The reversal of 180081000000 is 180081.

It is a happy number.

It is a super-2 number, since 2×180081000000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1682999947 + ... + 1683000053.

Almost surely, 2^180081000000 is an apocalyptic number.

180081000000 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 180081000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376113623184).

180081000000 is an abundant number, since it is smaller than the sum of its proper divisors (572146246368).

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

180081000000 is a wasteful number, since it uses less digits than its factorization.

180081000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 180081000000 its reverse (180081), we get a palindrome (180081180081).

180081000000 divided by its reverse (180081) gives a 6-th power (1000000 = 10⁶).

The spelling of 180081000000 in words is "one hundred eighty billion, eighty-one million", and thus it is an aban number.