127864260213264 has 105 divisors (see below), whose sum is σ = 371439138221949. Its totient is φ = 42621012993600.

The previous prime is 127864260213257. The next prime is 127864260213301. The reversal of 127864260213264 is 462312062468721.

It is a happy number.

The square root of 127864260213264 is 11307708.

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

127864260213264 is a `hidden beast` number, since 1 + 2 + 7 + 8 + 6 + 4 + 2 + 602 + 1 + 3 + 26 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 102513438011664 + 25350822201600 = 10124892^2 + 5034960^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 127864260213264.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1221180114 + ... + 1221284814.

Almost surely, 2^{127864260213264} is an apocalyptic number.

127864260213264 is the 11307708-th square number.

It is an amenable number.

127864260213264 is an abundant number, since it is smaller than the sum of its proper divisors (243574878008685).

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

127864260213264 is an frugal number, since it uses more digits than its factorization.

127864260213264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209428 (or 104706 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 127864260213264 in words is "one hundred twenty-seven trillion, eight hundred sixty-four billion, two hundred sixty million, two hundred thirteen thousand, two hundred sixty-four".