16728977520 has 160 divisors (see below), whose sum is σ = 57922036800. Its totient is φ = 4437835776.

The previous prime is 16728977509. The next prime is 16728977543. The reversal of 16728977520 is 2577982761.

It is a happy number.

16728977520 is a `hidden beast` number, since 1 + 6 + 7 + 28 + 97 + 7 + 520 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 396816 + ... + 436944.

It is an arithmetic number, because the mean of its divisors is an integer number (362012730).

Almost surely, 2^16728977520 is an apocalyptic number.

16728977520 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 16728977520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28961018400).

16728977520 is an abundant number, since it is smaller than the sum of its proper divisors (41193059280).

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

16728977520 is a wasteful number, since it uses less digits than its factorization.

16728977520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40344 (or 40332 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 16728977520 in words is "sixteen billion, seven hundred twenty-eight million, nine hundred seventy-seven thousand, five hundred twenty".