127338732165600 has 1296 divisors, whose sum is σ = 493360786638720. Its totient is φ = 30867141427200.

The previous prime is 127338732165571. The next prime is 127338732165691. The reversal of 127338732165600 is 6561237833721.

127338732165600 is a `hidden beast` number, since 1 + 2 + 7 + 3 + 3 + 8 + 7 + 3 + 21 + 6 + 5 + 600 = 666.

127338732165600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 38251344736 + ... + 38251348064.

It is an arithmetic number, because the mean of its divisors is an integer number (380679619320).

Almost surely, 2^{127338732165600} is an apocalyptic number.

127338732165600 is a gapful number since it is divisible by the number (10) 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 127338732165600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246680393319360).

127338732165600 is an abundant number, since it is smaller than the sum of its proper divisors (366022054473120).

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

127338732165600 is a wasteful number, since it uses less digits than its factorization.

127338732165600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4013 (or 3980 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 127338732165600 in words is "one hundred twenty-seven trillion, three hundred thirty-eight billion, seven hundred thirty-two million, one hundred sixty-five thousand, six hundred".