127016910256896 has 864 divisors, whose sum is σ = 429755613880320. Its totient is φ = 35650791014400.

The previous prime is 127016910256891. The next prime is 127016910256987. The reversal of 127016910256896 is 698652019610721.

127016910256896 is a `hidden beast` number, since 1 + 2 + 7 + 0 + 1 + 69 + 1 + 0 + 2 + 568 + 9 + 6 = 666.

It is a super-2 number, since 2×127016910256896² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (127016910256891) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 15065457801 + ... + 15065466231.

It is an arithmetic number, because the mean of its divisors is an integer number (497402330880).

Almost surely, 2^{127016910256896} is an apocalyptic number.

127016910256896 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 127016910256896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214877806940160).

127016910256896 is an abundant number, since it is smaller than the sum of its proper divisors (302738703623424).

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

127016910256896 is a wasteful number, since it uses less digits than its factorization.

127016910256896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9033 (or 9016 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 127016910256896 in words is "one hundred twenty-seven trillion, sixteen billion, nine hundred ten million, two hundred fifty-six thousand, eight hundred ninety-six".