180375828930 has 384 divisors, whose sum is σ = 538940563200. Its totient is φ = 41800872960.

The previous prime is 180375828907. The next prime is 180375828967. The reversal of 180375828930 is 39828573081.

180375828930 is a `hidden beast` number, since 180 + 375 + 8 + 2 + 8 + 93 + 0 = 666.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 475925481 + ... + 475925859.

It is an arithmetic number, because the mean of its divisors is an integer number (1403491050).

Almost surely, 2^180375828930 is an apocalyptic number.

180375828930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 180375828930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269470281600).

180375828930 is an abundant number, since it is smaller than the sum of its proper divisors (358564734270).

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

180375828930 is a wasteful number, since it uses less digits than its factorization.

180375828930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 180375828930 in words is "one hundred eighty billion, three hundred seventy-five million, eight hundred twenty-eight thousand, nine hundred thirty".