19988110800 has 720 divisors, whose sum is σ = 85128301440. Its totient is φ = 4406814720.

The previous prime is 19988110783. The next prime is 19988110811. The reversal of 19988110800 is 801188991.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 19731094 + ... + 19732106.

It is an arithmetic number, because the mean of its divisors is an integer number (118233752).

Almost surely, 2^19988110800 is an apocalyptic number.

19988110800 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 19988110800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42564150720).

19988110800 is an abundant number, since it is smaller than the sum of its proper divisors (65140190640).

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

19988110800 is a wasteful number, since it uses less digits than its factorization.

19988110800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 45.

It can be divided in two parts, 199881 and 10800, that added together give a square (210681 = 459²).

The spelling of 19988110800 in words is "nineteen billion, nine hundred eighty-eight million, one hundred ten thousand, eight hundred".