127928371200 has 576 divisors, whose sum is σ = 494748334080. Its totient is φ = 28550430720.

The previous prime is 127928371199. The next prime is 127928371213. The reversal of 127928371200 is 2173829721.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46232217 + ... + 46234983.

It is an arithmetic number, because the mean of its divisors is an integer number (858938080).

Almost surely, 2^127928371200 is an apocalyptic number.

127928371200 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 127928371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247374167040).

127928371200 is an abundant number, since it is smaller than the sum of its proper divisors (366819962880).

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

127928371200 is a wasteful number, since it uses less digits than its factorization.

127928371200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2852 (or 2827 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The spelling of 127928371200 in words is "one hundred twenty-seven billion, nine hundred twenty-eight million, three hundred seventy-one thousand, two hundred".