19981260800 has 144 divisors (see below), whose sum is σ = 51143601600. Its totient is φ = 7734067200.

The previous prime is 19981260799. The next prime is 19981260809. The reversal of 19981260800 is 806218991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19981260809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1580906 + ... + 1593494.

It is an arithmetic number, because the mean of its divisors is an integer number (355163900).

Almost surely, 2^19981260800 is an apocalyptic number.

19981260800 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 19981260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25571800800).

19981260800 is an abundant number, since it is smaller than the sum of its proper divisors (31162340800).

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

19981260800 is a wasteful number, since it uses less digits than its factorization.

19981260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12652 (or 12627 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 44.

The spelling of 19981260800 in words is "nineteen billion, nine hundred eighty-one million, two hundred sixty thousand, eight hundred".