16728289344000 has 1280 divisors, whose sum is σ = 69446365148160. Its totient is φ = 3938579251200.

The previous prime is 16728289343947. The next prime is 16728289344017. The reversal of 16728289344000 is 44398282761.

16728289344000 is a `hidden beast` number, since 1 + 6 + 72 + 82 + 8 + 93 + 4 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 516655812 + ... + 516688188.

It is an arithmetic number, because the mean of its divisors is an integer number (54254972772).

Almost surely, 2^{16728289344000} is an apocalyptic number.

16728289344000 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 16728289344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34723182574080).

16728289344000 is an abundant number, since it is smaller than the sum of its proper divisors (52718075804160).

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

16728289344000 is a wasteful number, since it uses less digits than its factorization.

16728289344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32455 (or 32423 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 16728289344000 in words is "sixteen trillion, seven hundred twenty-eight billion, two hundred eighty-nine million, three hundred forty-four thousand".