127538281728001 has 16 divisors (see below), whose sum is σ = 142892160168960. Its totient is φ = 113122960024320.

The previous prime is 127538281727953. The next prime is 127538281728007. The reversal of 127538281728001 is 100827182835721.

It is not a de Polignac number, because 127538281728001 - 2¹⁵ = 127538281695233 is a prime.

It is a super-2 number, since 2×127538281728001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127538281728007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1033591086 + ... + 1033714471.

It is an arithmetic number, because the mean of its divisors is an integer number (8930760010560).

Almost surely, 2^{127538281728001} is an apocalyptic number.

It is an amenable number.

127538281728001 is a deficient number, since it is larger than the sum of its proper divisors (15353878440959).

127538281728001 is a wasteful number, since it uses less digits than its factorization.

127538281728001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2067305784.

The product of its (nonzero) digits is 3010560, while the sum is 55.

The spelling of 127538281728001 in words is "one hundred twenty-seven trillion, five hundred thirty-eight billion, two hundred eighty-one million, seven hundred twenty-eight thousand, one".