127399890568336 has 135 divisors (see below), whose sum is σ = 255101828591001. Its totient is φ = 61635456728832.

The previous prime is 127399890568241. The next prime is 127399890568339. The reversal of 127399890568336 is 633865098993721.

The square root of 127399890568336 is 11287156.

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

127399890568336 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., 74835302547600 + 52564588020736 = 8650740^2 + 7250144^2 .

It is not an unprimeable number, because it can be changed into a prime (127399890568339) 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 26 ways as a sum of consecutive naturals, for example, 265970543745 + ... + 265970544223.

Almost surely, 2^{127399890568336} is an apocalyptic number.

127399890568336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

127399890568336 is the 11287156-th square number.

It is an amenable number.

127399890568336 is an abundant number, since it is smaller than the sum of its proper divisors (127701938022665).

127399890568336 is an frugal number, since it uses more digits than its factorization.

127399890568336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 3174474240, while the sum is 79.

The spelling of 127399890568336 in words is "one hundred twenty-seven trillion, three hundred ninety-nine billion, eight hundred ninety million, five hundred sixty-eight thousand, three hundred thirty-six".