127242357660756 has 72 divisors (see below), whose sum is σ = 353751802919424. Its totient is φ = 38318484133440.

The previous prime is 127242357660707. The next prime is 127242357660757. The reversal of 127242357660756 is 657066753242721.

127242357660756 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 4 + 2 + 3 + 576 + 6 + 0 + 7 + 56 = 666.

It is a super-2 number, since 2×127242357660756² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 127242357660693 and 127242357660702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127242357660757) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2892375660 + ... + 2892419651.

It is an arithmetic number, because the mean of its divisors is an integer number (4913219484992).

Almost surely, 2^{127242357660756} is an apocalyptic number.

It is an amenable number.

127242357660756 is an abundant number, since it is smaller than the sum of its proper divisors (226509445258668).

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

127242357660756 is a wasteful number, since it uses less digits than its factorization.

127242357660756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5784795381 (or 5784795376 counting only the distinct ones).

The product of its (nonzero) digits is 177811200, while the sum is 63.

The spelling of 127242357660756 in words is "one hundred twenty-seven trillion, two hundred forty-two billion, three hundred fifty-seven million, six hundred sixty thousand, seven hundred fifty-six".