127871610329089 has 9 divisors (see below), whose sum is σ = 140553229069729. Its totient is φ = 116246805400660.

The previous prime is 127871610329069. The next prime is 127871610329119. The reversal of 127871610329089 is 980923016178721.

The square root of 127871610329089 is 11308033.

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

It is not a de Polignac number, because 127871610329089 - 2⁹ = 127871610328577 is a prime.

It is a super-2 number, since 2×127871610329089² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 127871610329089.

It is not an unprimeable number, because it can be changed into a prime (127871610329009) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 123874362 + ... + 124902364.

Almost surely, 2^{127871610329089} is an apocalyptic number.

127871610329089 is the 11308033-rd square number.

127871610329089 is the 5654017-th centered octagonal number.

It is an amenable number.

127871610329089 is a deficient number, since it is larger than the sum of its proper divisors (12681618740640).

127871610329089 is an frugal number, since it uses more digits than its factorization.

127871610329089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2056028 (or 1028014 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 64.

The spelling of 127871610329089 in words is "one hundred twenty-seven trillion, eight hundred seventy-one billion, six hundred ten million, three hundred twenty-nine thousand, eighty-nine".