127035216400 has 135 divisors (see below), whose sum is σ = 310799498029. Its totient is φ = 49898800000.

The previous prime is 127035216367. The next prime is 127035216401. The reversal of 127035216400 is 4612530721.

The square root of 127035216400 is 356420.

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

127035216400 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 only one way, i.e., 45732677904 + 81302538496 = 213852^2 + 285136^2 .

It is a super-2 number, since 2×127035216400² (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 (127035216401) 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 26 ways as a sum of consecutive naturals, for example, 506116275 + ... + 506116525.

Almost surely, 2^127035216400 is an apocalyptic number.

127035216400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

127035216400 is the 356420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127035216400

127035216400 is an abundant number, since it is smaller than the sum of its proper divisors (183764281629).

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

127035216400 is an frugal number, since it uses more digits than its factorization.

127035216400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The spelling of 127035216400 in words is "one hundred twenty-seven billion, thirty-five million, two hundred sixteen thousand, four hundred".