127995740219200 has 672 divisors, whose sum is σ = 371106633155328. Its totient is φ = 42544300032000.

The previous prime is 127995740219167. The next prime is 127995740219203. The reversal of 127995740219200 is 2912047599721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127995740219203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46696729830 + ... + 46696732570.

It is an arithmetic number, because the mean of its divisors is an integer number (552242013624).

Almost surely, 2^{127995740219200} is an apocalyptic number.

127995740219200 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 127995740219200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185553316577664).

127995740219200 is an abundant number, since it is smaller than the sum of its proper divisors (243110892936128).

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

127995740219200 is a wasteful number, since it uses less digits than its factorization.

127995740219200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3731 (or 3716 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 58.

The spelling of 127995740219200 in words is "one hundred twenty-seven trillion, nine hundred ninety-five billion, seven hundred forty million, two hundred nineteen thousand, two hundred".