127841068728 has 96 divisors (see below), whose sum is σ = 361426665600. Its totient is φ = 40745500224.

The previous prime is 127841068723. The next prime is 127841068753. The reversal of 127841068728 is 827860148721.

127841068728 is a `hidden beast` number, since 127 + 8 + 410 + 6 + 87 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127841068721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4853851 + ... + 4880117.

It is an arithmetic number, because the mean of its divisors is an integer number (3764861100).

Almost surely, 2^127841068728 is an apocalyptic number.

127841068728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127841068728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180713332800).

127841068728 is an abundant number, since it is smaller than the sum of its proper divisors (233585596872).

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

127841068728 is a wasteful number, since it uses less digits than its factorization.

127841068728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29241 (or 29234 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 127841068728 in words is "one hundred twenty-seven billion, eight hundred forty-one million, sixty-eight thousand, seven hundred twenty-eight".