127255744265567 has 32 divisors (see below), whose sum is σ = 135144949395456. Its totient is φ = 119587537555200.

The previous prime is 127255744265539. The next prime is 127255744265581. The reversal of 127255744265567 is 765562447552721.

It is a cyclic number.

It is not a de Polignac number, because 127255744265567 - 2¹⁰ = 127255744264543 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 127255744265497 and 127255744265506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127255744265527) 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, 121090523 + ... + 122136915.

It is an arithmetic number, because the mean of its divisors is an integer number (4223279668608).

Almost surely, 2^{127255744265567} is an apocalyptic number.

127255744265567 is a deficient number, since it is larger than the sum of its proper divisors (7889205129889).

127255744265567 is a wasteful number, since it uses less digits than its factorization.

127255744265567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046951.

The product of its digits is 987840000, while the sum is 68.

The spelling of 127255744265567 in words is "one hundred twenty-seven trillion, two hundred fifty-five billion, seven hundred forty-four million, two hundred sixty-five thousand, five hundred sixty-seven".