126855975168 has 432 divisors, whose sum is σ = 417392976000. Its totient is φ = 36950224896.

The previous prime is 126855975167. The next prime is 126855975229. The reversal of 126855975168 is 861579558621.

126855975168 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 559 + 75 + 1 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (126855975167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96175213 + ... + 96176531.

Almost surely, 2^126855975168 is an apocalyptic number.

126855975168 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 126855975168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208696488000).

126855975168 is an abundant number, since it is smaller than the sum of its proper divisors (290537000832).

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

126855975168 is a wasteful number, since it uses less digits than its factorization.

126855975168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1356 counting only the distinct ones).

The product of its digits is 36288000, while the sum is 63.

The spelling of 126855975168 in words is "one hundred twenty-six billion, eight hundred fifty-five million, nine hundred seventy-five thousand, one hundred sixty-eight".