127945686800 has 30 divisors (see below), whose sum is σ = 307389513498. Its totient is φ = 51178274560.

The previous prime is 127945686761. The next prime is 127945686809. The reversal of 127945686800 is 8686549721.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2119936 + 127943566864 = 1456^2 + 357692^2 .

It is not an unprimeable number, because it can be changed into a prime (127945686809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 159931709 + ... + 159932508.

Almost surely, 2^127945686800 is an apocalyptic number.

127945686800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127945686800 is an abundant number, since it is smaller than the sum of its proper divisors (179443826698).

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

127945686800 is a wasteful number, since it uses less digits than its factorization.

127945686800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319864235 (or 319864224 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 56.

The spelling of 127945686800 in words is "one hundred twenty-seven billion, nine hundred forty-five million, six hundred eighty-six thousand, eight hundred".