127878387240 has 256 divisors, whose sum is σ = 415956902400. Its totient is φ = 31353749504.

The previous prime is 127878387163. The next prime is 127878387257. The reversal of 127878387240 is 42783878721.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18645892 + ... + 18652748.

It is an arithmetic number, because the mean of its divisors is an integer number (1624831650).

Almost surely, 2^127878387240 is an apocalyptic number.

127878387240 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 127878387240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207978451200).

127878387240 is an abundant number, since it is smaller than the sum of its proper divisors (288078515160).

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

127878387240 is a wasteful number, since it uses less digits than its factorization.

127878387240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7156 (or 7152 counting only the distinct ones).

The product of its (nonzero) digits is 8429568, while the sum is 57.

The spelling of 127878387240 in words is "one hundred twenty-seven billion, eight hundred seventy-eight million, three hundred eighty-seven thousand, two hundred forty".