180233015040 has 864 divisors, whose sum is σ = 715282102080. Its totient is φ = 41533046784.

The previous prime is 180233015029. The next prime is 180233015087. The reversal of 180233015040 is 40510332081.

It is a happy number.

180233015040 is a `hidden beast` number, since 180 + 2 + 330 + 150 + 4 + 0 = 666.

180233015040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 180233014995 and 180233015013.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 276007354 + ... + 276008006.

Almost surely, 2^180233015040 is an apocalyptic number.

180233015040 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 180233015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357641051040).

180233015040 is an abundant number, since it is smaller than the sum of its proper divisors (535049087040).

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

180233015040 is a wasteful number, since it uses less digits than its factorization.

180233015040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 180233015040 in words is "one hundred eighty billion, two hundred thirty-three million, fifteen thousand, forty".