127648765843200 has 648 divisors, whose sum is σ = 539554509530400. Its totient is φ = 28170759536640.

The previous prime is 127648765843129. The next prime is 127648765843213. The reversal of 127648765843200 is 2348567846721.

127648765843200 is a `hidden beast` number, since 1 + 2 + 7 + 6 + 48 + 7 + 6 + 584 + 3 + 2 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6234366 + ... + 17151234.

Almost surely, 2^{127648765843200} is an apocalyptic number.

127648765843200 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 127648765843200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269777254765200).

127648765843200 is an abundant number, since it is smaller than the sum of its proper divisors (411905743687200).

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

127648765843200 is a wasteful number, since it uses less digits than its factorization.

127648765843200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10916937 (or 10916915 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 127648765843200 in words is "one hundred twenty-seven trillion, six hundred forty-eight billion, seven hundred sixty-five million, eight hundred forty-three thousand, two hundred".