19875072000 has 384 divisors, whose sum is σ = 75595403520. Its totient is φ = 4541644800.

The previous prime is 19875071989. The next prime is 19875072001. The reversal of 19875072000 is 27057891.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 19875072000.

It is not an unprimeable number, because it can be changed into a prime (19875072001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5374152 + ... + 5377848.

It is an arithmetic number, because the mean of its divisors is an integer number (196863030).

Almost surely, 2^19875072000 is an apocalyptic number.

19875072000 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 19875072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37797701760).

19875072000 is an abundant number, since it is smaller than the sum of its proper divisors (55720331520).

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

19875072000 is an equidigital number, since it uses as much as digits as its factorization.

19875072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3744 (or 3714 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

The spelling of 19875072000 in words is "nineteen billion, eight hundred seventy-five million, seventy-two thousand".