127305964832256 has 360 divisors, whose sum is σ = 443229167220840. Its totient is φ = 36373131067392.

The previous prime is 127305964832209. The next prime is 127305964832329. The reversal of 127305964832256 is 652238469503721.

127305964832256 is a `hidden beast` number, since 1 + 2 + 7 + 3 + 0 + 596 + 4 + 8 + 32 + 2 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 127305964832193 and 127305964832202.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 4344721 + ... + 16537488.

It is an arithmetic number, because the mean of its divisors is an integer number (1231192131169).

It is a 1-persistent number, because it is pandigital, but 2⋅127305964832256 = 254611929664512 is not.

Almost surely, 2^{127305964832256} is an apocalyptic number.

127305964832256 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 127305964832256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221614583610420).

127305964832256 is an abundant number, since it is smaller than the sum of its proper divisors (315923202388584).

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

127305964832256 is an frugal number, since it uses more digits than its factorization.

127305964832256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20882256 (or 20882221 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 127305964832256 in words is "one hundred twenty-seven trillion, three hundred five billion, nine hundred sixty-four million, eight hundred thirty-two thousand, two hundred fifty-six".