180960953472 has 512 divisors, whose sum is σ = 608396544000. Its totient is φ = 52553318400.

The previous prime is 180960953449. The next prime is 180960953521. The reversal of 180960953472 is 274359069081.

180960953472 is a `hidden beast` number, since 1 + 80 + 9 + 6 + 0 + 95 + 3 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57101904 + ... + 57105072.

It is an arithmetic number, because the mean of its divisors is an integer number (1188274500).

It is a 1-persistent number, because it is pandigital, but 2⋅180960953472 = 361921906944 is not.

Almost surely, 2^180960953472 is an apocalyptic number.

180960953472 is a gapful number since it is divisible by the number (12) 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 180960953472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304198272000).

180960953472 is an abundant number, since it is smaller than the sum of its proper divisors (427435590528).

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

180960953472 is a wasteful number, since it uses less digits than its factorization.

180960953472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3277 (or 3259 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 180960953472 in words is "one hundred eighty billion, nine hundred sixty million, nine hundred fifty-three thousand, four hundred seventy-two".