180350344180480 has 1152 divisors, whose sum is σ = 485615783116800. Its totient is φ = 63909612748800.

The previous prime is 180350344180459. The next prime is 180350344180481. The reversal of 180350344180480 is 84081443053081.

It is not an unprimeable number, because it can be changed into a prime (180350344180481) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 854740967575 + ... + 854740967785.

It is an arithmetic number, because the mean of its divisors is an integer number (421541478400).

Almost surely, 2^{180350344180480} is an apocalyptic number.

180350344180480 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 180350344180480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242807891558400).

180350344180480 is an abundant number, since it is smaller than the sum of its proper divisors (305265438936320).

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

180350344180480 is a wasteful number, since it uses less digits than its factorization.

180350344180480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 49.

The spelling of 180350344180480 in words is "one hundred eighty trillion, three hundred fifty billion, three hundred forty-four million, one hundred eighty thousand, four hundred eighty".