19985328000 has 1152 divisors, whose sum is σ = 83636017920. Its totient is φ = 4561920000.

The previous prime is 19985327981. The next prime is 19985328001. The reversal of 19985328000 is 82358991.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19985328001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 540143982 + ... + 540144018.

It is an arithmetic number, because the mean of its divisors is an integer number (72600710).

Almost surely, 2^19985328000 is an apocalyptic number.

19985328000 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 19985328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41818008960).

19985328000 is an abundant number, since it is smaller than the sum of its proper divisors (63650689920).

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

19985328000 is a wasteful number, since it uses less digits than its factorization.

19985328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 19985328000 in words is "nineteen billion, nine hundred eighty-five million, three hundred twenty-eight thousand".