127107331960 has 128 divisors (see below), whose sum is σ = 346351749120. Its totient is φ = 40983201792.

The previous prime is 127107331957. The next prime is 127107331969. The reversal of 127107331960 is 69133701721.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127107331969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6306459 + ... + 6326581.

It is an arithmetic number, because the mean of its divisors is an integer number (2705873040).

Almost surely, 2^127107331960 is an apocalyptic number.

127107331960 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 127107331960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173175874560).

127107331960 is an abundant number, since it is smaller than the sum of its proper divisors (219244417160).

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

127107331960 is a wasteful number, since it uses less digits than its factorization.

127107331960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21485 (or 21481 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 40.

The spelling of 127107331960 in words is "one hundred twenty-seven billion, one hundred seven million, three hundred thirty-one thousand, nine hundred sixty".