127265385272706 has 32 divisors (see below), whose sum is σ = 282844168254720. Its totient is φ = 42416964943632.

The previous prime is 127265385272657. The next prime is 127265385272737. The reversal of 127265385272706 is 607272583562721.

127265385272706 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 6 + 5 + 38 + 527 + 2 + 70 + 6 = 666.

It is a super-2 number, since 2×127265385272706² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

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 15 ways as a sum of consecutive naturals, for example, 133692085 + ... + 134640648.

It is an arithmetic number, because the mean of its divisors is an integer number (8838880257960).

Almost surely, 2^{127265385272706} is an apocalyptic number.

127265385272706 is an abundant number, since it is smaller than the sum of its proper divisors (155578782982014).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

127265385272706 is a wasteful number, since it uses less digits than its factorization.

127265385272706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268341527 (or 268341521 counting only the distinct ones).

The product of its (nonzero) digits is 118540800, while the sum is 63.

The spelling of 127265385272706 in words is "one hundred twenty-seven trillion, two hundred sixty-five billion, three hundred eighty-five million, two hundred seventy-two thousand, seven hundred six".