127188979968 has 144 divisors (see below), whose sum is σ = 360498612096. Its totient is φ = 39671070720.

The previous prime is 127188979961. The next prime is 127188979969. The reversal of 127188979968 is 869979881721.

It is a self number, because there is not a number n which added to its sum of digits gives 127188979968.

It is not an unprimeable number, because it can be changed into a prime (127188979961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2230533 + ... + 2286843.

It is an arithmetic number, because the mean of its divisors is an integer number (2503462584).

Almost surely, 2^127188979968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127188979968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180249306048).

127188979968 is an abundant number, since it is smaller than the sum of its proper divisors (233309632128).

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

127188979968 is a wasteful number, since it uses less digits than its factorization.

127188979968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56520 (or 56506 counting only the distinct ones).

The product of its digits is 219469824, while the sum is 75.

The spelling of 127188979968 in words is "one hundred twenty-seven billion, one hundred eighty-eight million, nine hundred seventy-nine thousand, nine hundred sixty-eight".