127942665767200 has 144 divisors (see below), whose sum is σ = 320810811247080. Its totient is φ = 49789376593920.

The previous prime is 127942665767167. The next prime is 127942665767201. The reversal of 127942665767200 is 2767566249721.

It can be written as a sum of positive squares in 12 ways, for example, as 5924219696784 + 122018446070416 = 2433972^2 + 11046196^2 .

It is not an unprimeable number, because it can be changed into a prime (127942665767201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 335147634 + ... + 335529166.

Almost surely, 2^{127942665767200} is an apocalyptic number.

127942665767200 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 127942665767200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160405405623540).

127942665767200 is an abundant number, since it is smaller than the sum of its proper divisors (192868145479880).

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

127942665767200 is a wasteful number, since it uses less digits than its factorization.

127942665767200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392919 (or 392906 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 64.

The spelling of 127942665767200 in words is "one hundred twenty-seven trillion, nine hundred forty-two billion, six hundred sixty-five million, seven hundred sixty-seven thousand, two hundred".