127666271102500 has 135 divisors (see below), whose sum is σ = 302325380779653. Its totient is φ = 47135603736000.

The previous prime is 127666271102483. The next prime is 127666271102519. The reversal of 127666271102500 is 5201172666721.

The square root of 127666271102500 is 11298950.

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

It can be written as a sum of positive squares in 7 ways, for example, as 126099828618724 + 1566442483776 = 11229418^2 + 1251576^2 .

It is a Duffinian number.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 7344308809 + ... + 7344326191.

Almost surely, 2^{127666271102500} is an apocalyptic number.

127666271102500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

127666271102500 is the 11298950-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127666271102500

127666271102500 is an abundant number, since it is smaller than the sum of its proper divisors (174659109677153).

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

127666271102500 is an frugal number, since it uses more digits than its factorization.

127666271102500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34816 (or 17403 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 46.

The spelling of 127666271102500 in words is "one hundred twenty-seven trillion, six hundred sixty-six billion, two hundred seventy-one million, one hundred two thousand, five hundred".