127256404823456 has 576 divisors, whose sum is σ = 296740576742400. Its totient is φ = 53477322522624.

The previous prime is 127256404823411. The next prime is 127256404823459. The reversal of 127256404823456 is 654328404652721.

It is a junction number, because it is equal to n+sod(n) for n = 127256404823395 and 127256404823404.

It is not an unprimeable number, because it can be changed into a prime (127256404823459) 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 95 ways as a sum of consecutive naturals, for example, 60225462656 + ... + 60225464768.

It is an arithmetic number, because the mean of its divisors is an integer number (515174612400).

Almost surely, 2^{127256404823456} is an apocalyptic number.

127256404823456 is a gapful number since it is divisible by the number (16) 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 127256404823456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148370288371200).

127256404823456 is an abundant number, since it is smaller than the sum of its proper divisors (169484171918944).

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

127256404823456 is a wasteful number, since it uses less digits than its factorization.

127256404823456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2481 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 59.

The spelling of 127256404823456 in words is "one hundred twenty-seven trillion, two hundred fifty-six billion, four hundred four million, eight hundred twenty-three thousand, four hundred fifty-six".