180513825696 has 192 divisors, whose sum is σ = 532097596800. Its totient is φ = 59533056000.

The previous prime is 180513825689. The next prime is 180513825707. The reversal of 180513825696 is 696528315081.

180513825696 is a `hidden beast` number, since 1 + 80 + 51 + 382 + 56 + 96 = 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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124405771 + ... + 124407221.

It is an arithmetic number, because the mean of its divisors is an integer number (2771341650).

Almost surely, 2^180513825696 is an apocalyptic number.

180513825696 is a gapful number since it is divisible by the number (16) 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 180513825696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266048798400).

180513825696 is an abundant number, since it is smaller than the sum of its proper divisors (351583771104).

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

180513825696 is a wasteful number, since it uses less digits than its factorization.

180513825696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2900 (or 2886 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 180513825696 in words is "one hundred eighty billion, five hundred thirteen million, eight hundred twenty-five thousand, six hundred ninety-six".