127406328960 has 256 divisors, whose sum is σ = 411360255360. Its totient is φ = 33538572288.

The previous prime is 127406328953. The next prime is 127406328967. The reversal of 127406328960 is 69823604721.

It is an interprime number because it is at equal distance from previous prime (127406328953) and next prime (127406328967).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (127406328967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49133424 + ... + 49136016.

Almost surely, 2^127406328960 is an apocalyptic number.

127406328960 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 127406328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205680127680).

127406328960 is an abundant number, since it is smaller than the sum of its proper divisors (283953926400).

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

127406328960 is a wasteful number, since it uses less digits than its factorization.

127406328960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2935 (or 2923 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 127406328960 in words is "one hundred twenty-seven billion, four hundred six million, three hundred twenty-eight thousand, nine hundred sixty".