19980105200 has 120 divisors (see below), whose sum is σ = 52572773520. Its totient is φ = 7236812800.

The previous prime is 19980105181. The next prime is 19980105203. The reversal of 19980105200 is 250108991.

It is a Cunningham number, because it is equal to 141351²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19980105203) 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 23 ways as a sum of consecutive naturals, for example, 1121966 + ... + 1139634.

It is an arithmetic number, because the mean of its divisors is an integer number (438106446).

Almost surely, 2^19980105200 is an apocalyptic number.

19980105200 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 19980105200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26286386760).

19980105200 is an abundant number, since it is smaller than the sum of its proper divisors (32592668320).

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

19980105200 is a wasteful number, since it uses less digits than its factorization.

19980105200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17955 (or 17944 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 35.

The spelling of 19980105200 in words is "nineteen billion, nine hundred eighty million, one hundred five thousand, two hundred".