127864142041536 has 168 divisors, whose sum is σ = 367116966088704. Its totient is φ = 42549614254080.

The previous prime is 127864142041487. The next prime is 127864142041549. The reversal of 127864142041536 is 635140241468721.

127864142041536 is a `hidden beast` number, since 1 + 2 + 7 + 8 + 6 + 41 + 4 + 20 + 41 + 536 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1166940225 + ... + 1167049791.

Almost surely, 2^{127864142041536} is an apocalyptic number.

127864142041536 is a gapful number since it is divisible by the number (16) 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 127864142041536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183558483044352).

127864142041536 is an abundant number, since it is smaller than the sum of its proper divisors (239252824047168).

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

127864142041536 is a wasteful number, since it uses less digits than its factorization.

127864142041536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112979 (or 112966 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 127864142041536 in words is "one hundred twenty-seven trillion, eight hundred sixty-four billion, one hundred forty-two million, forty-one thousand, five hundred thirty-six".