127939882752 has 864 divisors, whose sum is σ = 455950010880. Its totient is φ = 34969190400.

The previous prime is 127939882739. The next prime is 127939882757. The reversal of 127939882752 is 257288939721.

127939882752 is a `hidden beast` number, since 1 + 279 + 3 + 98 + 8 + 275 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×127939882752² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 127939882752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127939882757) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1242134733 + ... + 1242134835.

It is an arithmetic number, because the mean of its divisors is an integer number (527719920).

Almost surely, 2^127939882752 is an apocalyptic number.

127939882752 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 127939882752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227975005440).

127939882752 is an abundant number, since it is smaller than the sum of its proper divisors (328010128128).

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

127939882752 is a wasteful number, since it uses less digits than its factorization.

127939882752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 167 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 63.

The spelling of 127939882752 in words is "one hundred twenty-seven billion, nine hundred thirty-nine million, eight hundred eighty-two thousand, seven hundred fifty-two".