127864260213263 has 64 divisors (see below), whose sum is σ = 154659043768320. Its totient is φ = 103393233216000.

The previous prime is 127864260213257. The next prime is 127864260213301. The reversal of 127864260213263 is 362312062468721.

It is a Cunningham number, because it is equal to 11307708²-1.

It is not a de Polignac number, because 127864260213263 - 2⁴ = 127864260213247 is a prime.

It is a super-2 number, since 2×127864260213263² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127864260216263) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3584525918 + ... + 3584561588.

It is an arithmetic number, because the mean of its divisors is an integer number (2416547558880).

Almost surely, 2^{127864260213263} is an apocalyptic number.

127864260213263 is a deficient number, since it is larger than the sum of its proper divisors (26794783555057).

127864260213263 is a wasteful number, since it uses less digits than its factorization.

127864260213263 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37128.

The product of its (nonzero) digits is 6967296, while the sum is 53.

The spelling of 127864260213263 in words is "one hundred twenty-seven trillion, eight hundred sixty-four billion, two hundred sixty million, two hundred thirteen thousand, two hundred sixty-three".