19872240000 has 320 divisors, whose sum is σ = 68114196480. Its totient is φ = 5126400000.

The previous prime is 19872239963. The next prime is 19872240001. The reversal of 19872240000 is 4227891.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19872240001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7438665 + ... + 7441335.

It is an arithmetic number, because the mean of its divisors is an integer number (212856864).

Almost surely, 2^19872240000 is an apocalyptic number.

19872240000 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 19872240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34057098240).

19872240000 is an abundant number, since it is smaller than the sum of its proper divisors (48241956480).

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

19872240000 is an equidigital number, since it uses as much as digits as its factorization.

19872240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2739 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

Adding to 19872240000 its reverse (4227891), we get a palindrome (19876467891).

The spelling of 19872240000 in words is "nineteen billion, eight hundred seventy-two million, two hundred forty thousand".