127821568065 has 16 divisors (see below), whose sum is σ = 204859404288. Its totient is φ = 68056537856.

The previous prime is 127821568051. The next prime is 127821568081. The reversal of 127821568065 is 560865128721.

It is a cyclic number.

It is not a de Polignac number, because 127821568065 - 2¹⁴ = 127821551681 is a prime.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 127821567999 and 127821568017.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7176129 + ... + 7193918.

It is an arithmetic number, because the mean of its divisors is an integer number (12803712768).

Almost surely, 2^127821568065 is an apocalyptic number.

127821568065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

127821568065 is a deficient number, since it is larger than the sum of its proper divisors (77037836223).

127821568065 is a wasteful number, since it uses less digits than its factorization.

127821568065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14370648.

The product of its (nonzero) digits is 1612800, while the sum is 51.

The spelling of 127821568065 in words is "one hundred twenty-seven billion, eight hundred twenty-one million, five hundred sixty-eight thousand, sixty-five".