16728548812272 has 960 divisors, whose sum is σ = 57523794432000. Its totient is φ = 4602987648000.

The previous prime is 16728548812189. The next prime is 16728548812321. The reversal of 16728548812272 is 27221884582761.

16728548812272 is a `hidden beast` number, since 1 + 6 + 7 + 2 + 8 + 548 + 8 + 12 + 2 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11465762679 + ... + 11465764137.

It is an arithmetic number, because the mean of its divisors is an integer number (59920619200).

Almost surely, 2^{16728548812272} is an apocalyptic number.

16728548812272 is a gapful number since it is divisible by the number (12) 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 16728548812272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28761897216000).

16728548812272 is an abundant number, since it is smaller than the sum of its proper divisors (40795245619728).

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

16728548812272 is a wasteful number, since it uses less digits than its factorization.

16728548812272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1715 (or 1674 counting only the distinct ones).

The product of its digits is 48168960, while the sum is 63.

The spelling of 16728548812272 in words is "sixteen trillion, seven hundred twenty-eight billion, five hundred forty-eight million, eight hundred twelve thousand, two hundred seventy-two".