16728755782761 has 24 divisors (see below), whose sum is σ = 26616390505536. Its totient is φ = 10040206465440.

The previous prime is 16728755782709. The next prime is 16728755782771.

16728755782761 is a `hidden beast` number, since 1 + 6 + 7 + 2 + 8 + 7 + 557 + 8 + 2 + 7 + 61 = 666.

16728755782761 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 16728755782761 - 2¹⁰ = 16728755781737 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 16728755782761.

It is not an unprimeable number, because it can be changed into a prime (16728755782771) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 820268110 + ... + 820288503.

It is an arithmetic number, because the mean of its divisors is an integer number (1109016271064).

Almost surely, 2^{16728755782761} is an apocalyptic number.

16728755782761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16728755782761 is a deficient number, since it is larger than the sum of its proper divisors (9887634722775).

16728755782761 is a wasteful number, since it uses less digits than its factorization.

16728755782761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640556733 (or 1640556730 counting only the distinct ones).

The product of its digits is 553190400, while the sum is 72.

The spelling of 16728755782761 in words is "sixteen trillion, seven hundred twenty-eight billion, seven hundred fifty-five million, seven hundred eighty-two thousand, seven hundred sixty-one".