1981833130200 has 576 divisors, whose sum is σ = 7794298632960. Its totient is φ = 407721600000.

The previous prime is 1981833130177. The next prime is 1981833130223. The reversal of 1981833130200 is 20313381891.

It is an interprime number because it is at equal distance from previous prime (1981833130177) and next prime (1981833130223).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 51308895 + ... + 51347505.

It is an arithmetic number, because the mean of its divisors is an integer number (13531768460).

Almost surely, 2^{1981833130200} is an apocalyptic number.

1981833130200 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 1981833130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3897149316480).

1981833130200 is an abundant number, since it is smaller than the sum of its proper divisors (5812465502760).

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

1981833130200 is a wasteful number, since it uses less digits than its factorization.

1981833130200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38760 (or 38740 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 1981833130200 in words is "one trillion, nine hundred eighty-one billion, eight hundred thirty-three million, one hundred thirty thousand, two hundred".