180595812100 has 72 divisors (see below), whose sum is σ = 427959671328. Its totient is φ = 65603596800.

The previous prime is 180595812043. The next prime is 180595812121. The reversal of 180595812100 is 1218595081.

It is a super-2 number, since 2×180595812100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 990679 + ... + 1158721.

It is an arithmetic number, because the mean of its divisors is an integer number (5943884324).

Almost surely, 2^180595812100 is an apocalyptic number.

180595812100 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 180595812100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213979835664).

180595812100 is an abundant number, since it is smaller than the sum of its proper divisors (247363859228).

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

180595812100 is a wasteful number, since it uses less digits than its factorization.

180595812100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169045 (or 169038 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 40.

The spelling of 180595812100 in words is "one hundred eighty billion, five hundred ninety-five million, eight hundred twelve thousand, one hundred".