127080842256 has 135 divisors (see below), whose sum is σ = 362319741693. Its totient is φ = 41580293760.

The previous prime is 127080842249. The next prime is 127080842267. The reversal of 127080842256 is 652248080721.

The square root of 127080842256 is 356484.

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

127080842256 is a `hidden beast` number, since 1 + 270 + 80 + 84 + 225 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4132432656 + 122948409600 = 64284^2 + 350640^2 .

It is a super-2 number, since 2×127080842256² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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, 260946045 + ... + 260946531.

Almost surely, 2^127080842256 is an apocalyptic number.

127080842256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

127080842256 is the 356484-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127080842256

127080842256 is an abundant number, since it is smaller than the sum of its proper divisors (235238899437).

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

127080842256 is an frugal number, since it uses more digits than its factorization.

127080842256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 127080842256 in words is "one hundred twenty-seven billion, eighty million, eight hundred forty-two thousand, two hundred fifty-six".