180790006230288 has 1920 divisors, whose sum is σ = 675540762624000. Its totient is φ = 43850070835200.

The previous prime is 180790006230269. The next prime is 180790006230289. The reversal of 180790006230288 is 882032600097081.

It is a happy number.

180790006230288 is a `hidden beast` number, since 1 + 8 + 0 + 7 + 9 + 0 + 0 + 0 + 623 + 0 + 2 + 8 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (180790006230289) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 222922325403 + ... + 222922326213.

It is an arithmetic number, because the mean of its divisors is an integer number (351844147200).

Almost surely, 2^{180790006230288} is an apocalyptic number.

180790006230288 is a gapful number since it is divisible by the number (18) 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 180790006230288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337770381312000).

180790006230288 is an abundant number, since it is smaller than the sum of its proper divisors (494750756393712).

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

180790006230288 is a wasteful number, since it uses less digits than its factorization.

180790006230288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 180790006230288 in words is "one hundred eighty trillion, seven hundred ninety billion, six million, two hundred thirty thousand, two hundred eighty-eight".