19728576000 has 960 divisors, whose sum is σ = 85143389760. Its totient is φ = 4490035200.

The previous prime is 19728575969. The next prime is 19728576013. The reversal of 19728576000 is 67582791.

19728576000 is a `hidden beast` number, since 1 + 9 + 72 + 8 + 576 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84671884 + ... + 84672116.

It is an arithmetic number, because the mean of its divisors is an integer number (88691031).

Almost surely, 2^19728576000 is an apocalyptic number.

19728576000 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 19728576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42571694880).

19728576000 is an abundant number, since it is smaller than the sum of its proper divisors (65414813760).

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

19728576000 is an equidigital number, since it uses as much as digits as its factorization.

19728576000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 19728576000 in words is "nineteen billion, seven hundred twenty-eight million, five hundred seventy-six thousand".