127721363762867 has 16 divisors (see below), whose sum is σ = 148001455408320. Its totient is φ = 107950519729152.

The previous prime is 127721363762851. The next prime is 127721363762903. The reversal of 127721363762867 is 768267363127721.

It is a cyclic number.

It is not a de Polignac number, because 127721363762867 - 2⁴ = 127721363762851 is a prime.

It is a super-3 number, since 3×127721363762867³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 127721363762797 and 127721363762806.

It is not an unprimeable number, because it can be changed into a prime (127721363762467) 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, 27063392 + ... + 31430397.

It is an arithmetic number, because the mean of its divisors is an integer number (9250090963020).

Almost surely, 2^{127721363762867} is an apocalyptic number.

127721363762867 is a deficient number, since it is larger than the sum of its proper divisors (20280091645453).

127721363762867 is an equidigital number, since it uses as much as digits as its factorization.

127721363762867 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58498142.

The product of its digits is 298722816, while the sum is 68.

The spelling of 127721363762867 in words is "one hundred twenty-seven trillion, seven hundred twenty-one billion, three hundred sixty-three million, seven hundred sixty-two thousand, eight hundred sixty-seven".