1800130661868 has 576 divisors, whose sum is σ = 5749350727680. Its totient is φ = 427794048000.

The previous prime is 1800130661801. The next prime is 1800130661869. The reversal of 1800130661868 is 8681660310081.

It is not an unprimeable number, because it can be changed into a prime (1800130661869) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 644975553 + ... + 644978343.

It is an arithmetic number, because the mean of its divisors is an integer number (9981511680).

Almost surely, 2^{1800130661868} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1800130661868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2874675363840).

1800130661868 is an abundant number, since it is smaller than the sum of its proper divisors (3949220065812).

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

1800130661868 is a wasteful number, since it uses less digits than its factorization.

1800130661868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2970 (or 2957 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The spelling of 1800130661868 in words is "one trillion, eight hundred billion, one hundred thirty million, six hundred sixty-one thousand, eight hundred sixty-eight".