127168952064 has 648 divisors, whose sum is σ = 456685262208. Its totient is φ = 31058657280.

The previous prime is 127168952039. The next prime is 127168952069. The reversal of 127168952064 is 460259861721.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 127168951998 and 127168952016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127168952069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 119631597 + ... + 119632659.

Almost surely, 2^127168952064 is an apocalyptic number.

127168952064 is a gapful number since it is divisible by the number (14) 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 127168952064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228342631104).

127168952064 is an abundant number, since it is smaller than the sum of its proper divisors (329516310144).

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

127168952064 is a wasteful number, since it uses less digits than its factorization.

127168952064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 127168952064 in words is "one hundred twenty-seven billion, one hundred sixty-eight million, nine hundred fifty-two thousand, sixty-four".