19960144800 has 288 divisors, whose sum is σ = 67515928704. Its totient is φ = 5117952000.

The previous prime is 19960144777. The next prime is 19960144807. The reversal of 19960144800 is 844106991.

It is not an unprimeable number, because it can be changed into a prime (19960144807) 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 47 ways as a sum of consecutive naturals, for example, 6984972 + ... + 6987828.

It is an arithmetic number, because the mean of its divisors is an integer number (234430308).

Almost surely, 2^19960144800 is an apocalyptic number.

19960144800 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 19960144800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33757964352).

19960144800 is an abundant number, since it is smaller than the sum of its proper divisors (47555783904).

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

19960144800 is a wasteful number, since it uses less digits than its factorization.

19960144800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2992 (or 2979 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 19960144800 in words is "nineteen billion, nine hundred sixty million, one hundred forty-four thousand, eight hundred".