180795533057568 has 1536 divisors, whose sum is σ = 637289890836480. Its totient is φ = 49145819627520.

The previous prime is 180795533057561. The next prime is 180795533057621. The reversal of 180795533057568 is 865750335597081.

180795533057568 is a `hidden beast` number, since 1 + 8 + 0 + 7 + 9 + 5 + 5 + 3 + 3 + 0 + 57 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 180795533057496 and 180795533057505.

It is not an unprimeable number, because it can be changed into a prime (180795533057561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 324588030346 + ... + 324588030902.

It is an arithmetic number, because the mean of its divisors is an integer number (414902272680).

Almost surely, 2^{180795533057568} is an apocalyptic number.

180795533057568 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 180795533057568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318644945418240).

180795533057568 is an abundant number, since it is smaller than the sum of its proper divisors (456494357778912).

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

180795533057568 is a wasteful number, since it uses less digits than its factorization.

180795533057568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 952560000, while the sum is 72.

The spelling of 180795533057568 in words is "one hundred eighty trillion, seven hundred ninety-five billion, five hundred thirty-three million, fifty-seven thousand, five hundred sixty-eight".