127766667721 has 32 divisors (see below), whose sum is σ = 167855155200. Its totient is φ = 94218526080.

The previous prime is 127766667671. The next prime is 127766667751.

127766667721 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 127766667721 - 2²⁷ = 127632449993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127766667751) 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 31 ways as a sum of consecutive naturals, for example, 1348420 + ... + 1440058.

It is an arithmetic number, because the mean of its divisors is an integer number (5245473600).

Almost surely, 2^127766667721 is an apocalyptic number.

127766667721 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

127766667721 is a deficient number, since it is larger than the sum of its proper divisors (40088487479).

127766667721 is a wasteful number, since it uses less digits than its factorization.

127766667721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92629.

The product of its digits is 12446784, while the sum is 58.

The spelling of 127766667721 in words is "one hundred twenty-seven billion, seven hundred sixty-six million, six hundred sixty-seven thousand, seven hundred twenty-one".