127375205414028 has 192 divisors, whose sum is σ = 357528208891392. Its totient is φ = 34777497323520.

The previous prime is 127375205413993. The next prime is 127375205414081. The reversal of 127375205414028 is 820414502573721.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109587376 + ... + 110743592.

It is an arithmetic number, because the mean of its divisors is an integer number (1862126087976).

Almost surely, 2^{127375205414028} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127375205414028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178764104445696).

127375205414028 is an abundant number, since it is smaller than the sum of its proper divisors (230153003477364).

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

127375205414028 is a wasteful number, since it uses less digits than its factorization.

127375205414028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157784 (or 1157782 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 51.

Adding to 127375205414028 its reverse (820414502573721), we get a palindrome (947789707987749).

The spelling of 127375205414028 in words is "one hundred twenty-seven trillion, three hundred seventy-five billion, two hundred five million, four hundred fourteen thousand, twenty-eight".