127776572668900 has 81 divisors (see below), whose sum is σ = 277809703170139. Its totient is φ = 51012285746560.

The previous prime is 127776572668889. The next prime is 127776572668991. The reversal of 127776572668900 is 9866275677721.

The square root of 127776572668900 is 11303830.

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

It can be written as a sum of positive squares in 4 ways, for example, as 16654446732196 + 111122125936704 = 4080986^2 + 10541448^2 .

It is a super-3 number, since 3×127776572668900³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 96873822441 + ... + 96873823759.

Almost surely, 2^{127776572668900} is an apocalyptic number.

127776572668900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

127776572668900 is the 11303830-th square number.

It is an amenable number.

127776572668900 is an abundant number, since it is smaller than the sum of its proper divisors (150033130501239).

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

127776572668900 is an frugal number, since it uses more digits than its factorization.

127776572668900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4366 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 746807040, while the sum is 73.

The spelling of 127776572668900 in words is "one hundred twenty-seven trillion, seven hundred seventy-six billion, five hundred seventy-two million, six hundred sixty-eight thousand, nine hundred".