127691101196721 has 32 divisors (see below), whose sum is σ = 193628474160000. Its totient is φ = 83123156660544.

The previous prime is 127691101196713. The next prime is 127691101196759.

127691101196721 is a `hidden beast` number, since 1 + 276 + 9 + 110 + 1 + 196 + 72 + 1 = 666.

127691101196721 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 127691101196721 - 2³ = 127691101196713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (127691101196521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12291946 + ... + 20161203.

It is an arithmetic number, because the mean of its divisors is an integer number (6050889817500).

Almost surely, 2^{127691101196721} is an apocalyptic number.

It is an amenable number.

127691101196721 is a deficient number, since it is larger than the sum of its proper divisors (65937372963279).

127691101196721 is a wasteful number, since it uses less digits than its factorization.

127691101196721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32456590 (or 32456584 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 54.

The spelling of 127691101196721 in words is "one hundred twenty-seven trillion, six hundred ninety-one billion, one hundred one million, one hundred ninety-six thousand, seven hundred twenty-one".