1800523516100 has 72 divisors (see below), whose sum is σ = 3961189045800. Its totient is φ = 710248366080.

The previous prime is 1800523516093. The next prime is 1800523516111. The reversal of 1800523516100 is 16153250081.

It can be written as a sum of positive squares in 12 ways, for example, as 324259635844 + 1476263880256 = 569438^2 + 1215016^2 .

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 23 ways as a sum of consecutive naturals, for example, 83158076 + ... + 83179724.

It is an arithmetic number, because the mean of its divisors is an integer number (55016514525).

Almost surely, 2^{1800523516100} is an apocalyptic number.

1800523516100 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 1800523516100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1980594522900).

1800523516100 is an abundant number, since it is smaller than the sum of its proper divisors (2160665529700).

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

1800523516100 is a wasteful number, since it uses less digits than its factorization.

1800523516100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33129 (or 33122 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 32.

Adding to 1800523516100 its reverse (16153250081), we get a palindrome (1816676766181).

The spelling of 1800523516100 in words is "one trillion, eight hundred billion, five hundred twenty-three million, five hundred sixteen thousand, one hundred".