127864142213688 has 96 divisors (see below), whose sum is σ = 354855601900800. Its totient is φ = 41568873907200.

The previous prime is 127864142213677. The next prime is 127864142213711. The reversal of 127864142213688 is 886312241468721.

127864142213688 is a `hidden beast` number, since 1 + 2 + 7 + 8 + 6 + 41 + 4 + 221 + 368 + 8 = 666.

It is a super-2 number, since 2×127864142213688² (a number of 29 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, 2724073 + ... + 16221863.

It is an arithmetic number, because the mean of its divisors is an integer number (3696412519800).

Almost surely, 2^{127864142213688} is an apocalyptic number.

127864142213688 is a gapful number since it is divisible by the number (18) 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 127864142213688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177427800950400).

127864142213688 is an abundant number, since it is smaller than the sum of its proper divisors (226991459687112).

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

127864142213688 is a wasteful number, since it uses less digits than its factorization.

127864142213688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13501053 (or 13501046 counting only the distinct ones).

The product of its digits is 49545216, while the sum is 63.

The spelling of 127864142213688 in words is "one hundred twenty-seven trillion, eight hundred sixty-four billion, one hundred forty-two million, two hundred thirteen thousand, six hundred eighty-eight".