16727455472761 has 16 divisors (see below), whose sum is σ = 18852261216768. Its totient is φ = 14704143897600.

The previous prime is 16727455472731. The next prime is 16727455472837.

16727455472761 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 16727455472761 - 2⁹ = 16727455472249 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 16727455472693 and 16727455472702.

It is not an unprimeable number, because it can be changed into a prime (16727455472731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19738710 + ... + 20568703.

It is an arithmetic number, because the mean of its divisors is an integer number (1178266326048).

Almost surely, 2^{16727455472761} is an apocalyptic number.

16727455472761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16727455472761 is a deficient number, since it is larger than the sum of its proper divisors (2124805744007).

16727455472761 is a wasteful number, since it uses less digits than its factorization.

16727455472761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40308672.

The product of its digits is 138297600, while the sum is 64.

The spelling of 16727455472761 in words is "sixteen trillion, seven hundred twenty-seven billion, four hundred fifty-five million, four hundred seventy-two thousand, seven hundred sixty-one".