127965744830 has 128 divisors (see below), whose sum is σ = 293771280384. Its totient is φ = 38978755200.

The previous prime is 127965744821. The next prime is 127965744871. The reversal of 127965744830 is 38447569721.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 6542165 + ... + 6561695.

It is an arithmetic number, because the mean of its divisors is an integer number (2295088128).

It is a 1-persistent number, because it is pandigital, but 2⋅127965744830 = 255931489660 is not.

Almost surely, 2^127965744830 is an apocalyptic number.

127965744830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

127965744830 is an abundant number, since it is smaller than the sum of its proper divisors (165805535554).

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

127965744830 is a wasteful number, since it uses less digits than its factorization.

127965744830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19750.

The product of its (nonzero) digits is 10160640, while the sum is 56.

The spelling of 127965744830 in words is "one hundred twenty-seven billion, nine hundred sixty-five million, seven hundred forty-four thousand, eight hundred thirty".