127563265600 has 63 divisors (see below), whose sum is σ = 313920517827. Its totient is φ = 51019591680.

The previous prime is 127563265513. The next prime is 127563265603. The reversal of 127563265600 is 6562365721.

The square root of 127563265600 is 357160.

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

127563265600 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 4 ways, for example, as 57036902976 + 70526362624 = 238824^2 + 265568^2 .

It is a super-2 number, since 2×127563265600² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127563265603) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14281936 + ... + 14290864.

Almost surely, 2^127563265600 is an apocalyptic number.

127563265600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

127563265600 is the 357160-th square number.

It is an amenable number.

127563265600 is an abundant number, since it is smaller than the sum of its proper divisors (186357252227).

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

127563265600 is an frugal number, since it uses more digits than its factorization.

127563265600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17880 (or 8936 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 43.

The spelling of 127563265600 in words is "one hundred twenty-seven billion, five hundred sixty-three million, two hundred sixty-five thousand, six hundred".