127871044928064 has 189 divisors, whose sum is σ = 367679652887001. Its totient is φ = 42489161579520.

The previous prime is 127871044928051. The next prime is 127871044928069. The reversal of 127871044928064 is 460829440178721.

The square root of 127871044928064 is 11308008.

It is a perfect power (a square), and thus also a powerful number.

127871044928064 is a `hidden beast` number, since 1 + 2 + 7 + 8 + 7 + 1 + 0 + 4 + 492 + 80 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 110590462440000 + 17280582488064 = 10516200^2 + 4156992^2 .

It is a junction number, because it is equal to n+sod(n) for n = 127871044927992 and 127871044928010.

It is not an unprimeable number, because it can be changed into a prime (127871044928069) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 124026231229 + ... + 124026232259.

Almost surely, 2^{127871044928064} is an apocalyptic number.

127871044928064 is the 11308008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127871044928064

127871044928064 is an abundant number, since it is smaller than the sum of its proper divisors (239808607958937).

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

127871044928064 is an frugal number, since it uses more digits than its factorization.

127871044928064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2994 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 127871044928064 in words is "one hundred twenty-seven trillion, eight hundred seventy-one billion, forty-four million, nine hundred twenty-eight thousand, sixty-four".