127530311742768 has 320 divisors, whose sum is σ = 386753303347200. Its totient is φ = 35796956590080.

The previous prime is 127530311742761. The next prime is 127530311742773. The reversal of 127530311742768 is 867247113035721.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (127530311742761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 475613505 + ... + 475881567.

It is an arithmetic number, because the mean of its divisors is an integer number (1208604072960).

Almost surely, 2^{127530311742768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127530311742768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193376651673600).

127530311742768 is an abundant number, since it is smaller than the sum of its proper divisors (259222991604432).

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

127530311742768 is a wasteful number, since it uses less digits than its factorization.

127530311742768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269160 (or 269154 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 57.

The spelling of 127530311742768 in words is "one hundred twenty-seven trillion, five hundred thirty billion, three hundred eleven million, seven hundred forty-two thousand, seven hundred sixty-eight".