180738509280 has 384 divisors, whose sum is σ = 688499481600. Its totient is φ = 38931922944.

The previous prime is 180738509257. The next prime is 180738509317. The reversal of 180738509280 is 82905837081.

It is a super-2 number, since 2×180738509280² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12313786 + ... + 12328454.

It is an arithmetic number, because the mean of its divisors is an integer number (1792967400).

Almost surely, 2^180738509280 is an apocalyptic number.

180738509280 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 180738509280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344249740800).

180738509280 is an abundant number, since it is smaller than the sum of its proper divisors (507760972320).

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

180738509280 is a wasteful number, since it uses less digits than its factorization.

180738509280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14906 (or 14898 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 180738509280 in words is "one hundred eighty billion, seven hundred thirty-eight million, five hundred nine thousand, two hundred eighty".