127567175950096 has 135 divisors (see below), whose sum is σ = 259879844784469. Its totient is φ = 60657049357696.

The previous prime is 127567175950051. The next prime is 127567175950121. The reversal of 127567175950096 is 690059571765721.

The square root of 127567175950096 is 11294564.

It is a perfect power (a square), and thus also a powerful number.

127567175950096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 120696150992400 + 6871024957696 = 10986180^2 + 2621264^2 .

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 304456266975 + ... + 304456267393.

Almost surely, 2^{127567175950096} is an apocalyptic number.

127567175950096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

127567175950096 is the 11294564-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127567175950096

127567175950096 is an abundant number, since it is smaller than the sum of its proper divisors (132312668834373).

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

127567175950096 is an frugal number, since it uses more digits than its factorization.

127567175950096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 250047000, while the sum is 70.

The spelling of 127567175950096 in words is "one hundred twenty-seven trillion, five hundred sixty-seven billion, one hundred seventy-five million, nine hundred fifty thousand, ninety-six".