127991838072 has 96 divisors (see below), whose sum is σ = 372874993920. Its totient is φ = 36504861120.

The previous prime is 127991838049. The next prime is 127991838097. The reversal of 127991838072 is 270838199721.

It is a super-2 number, since 2×127991838072² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 576193 + ... + 766799.

It is an arithmetic number, because the mean of its divisors is an integer number (3884114520).

Almost surely, 2^127991838072 is an apocalyptic number.

127991838072 is a gapful number since it is divisible by the number (12) 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 127991838072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186437496960).

127991838072 is an abundant number, since it is smaller than the sum of its proper divisors (244883155848).

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

127991838072 is a wasteful number, since it uses less digits than its factorization.

127991838072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191201 (or 191190 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 57.

It can be divided in two parts, 127 and 991838072, that added together give a palindrome (991838199).

The spelling of 127991838072 in words is "one hundred twenty-seven billion, nine hundred ninety-one million, eight hundred thirty-eight thousand, seventy-two".