127738565837721 has 48 divisors (see below), whose sum is σ = 192607925732352. Its totient is φ = 81486184752000.

The previous prime is 127738565837719. The next prime is 127738565837797.

127738565837721 is a `hidden beast` number, since 1 + 2 + 7 + 7 + 3 + 8 + 565 + 8 + 37 + 7 + 21 = 666.

127738565837721 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 127738565837721 - 2¹ = 127738565837719 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 127738565837721.

It is not an unprimeable number, because it can be changed into a prime (127738565832721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17886451 + ... + 23987543.

It is an arithmetic number, because the mean of its divisors is an integer number (4012665119424).

Almost surely, 2^{127738565837721} is an apocalyptic number.

It is an amenable number.

127738565837721 is a deficient number, since it is larger than the sum of its proper divisors (64869359894631).

127738565837721 is a wasteful number, since it uses less digits than its factorization.

127738565837721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6101974 (or 6101971 counting only the distinct ones).

The product of its digits is 829785600, while the sum is 72.

The spelling of 127738565837721 in words is "one hundred twenty-seven trillion, seven hundred thirty-eight billion, five hundred sixty-five million, eight hundred thirty-seven thousand, seven hundred twenty-one".