127812905760968 has 32 divisors (see below), whose sum is σ = 240882522883200. Its totient is φ = 63577611663552.

The previous prime is 127812905760959. The next prime is 127812905760977. The reversal of 127812905760968 is 869067509218721.

It is a Cunningham number, because it is equal to 11305437²-1.

It is an interprime number because it is at equal distance from previous prime (127812905760959) and next prime (127812905760977).

It is a super-2 number, since 2×127812905760968² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 19784513 + ... + 25437231.

It is an arithmetic number, because the mean of its divisors is an integer number (7527578840100).

Almost surely, 2^{127812905760968} is an apocalyptic number.

It is an amenable number.

127812905760968 is a deficient number, since it is larger than the sum of its proper divisors (113069617122232).

127812905760968 is a wasteful number, since it uses less digits than its factorization.

127812905760968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5667269 (or 5667265 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 71.

The spelling of 127812905760968 in words is "one hundred twenty-seven trillion, eight hundred twelve billion, nine hundred five million, seven hundred sixty thousand, nine hundred sixty-eight".