127056324276 has 576 divisors, whose sum is σ = 424584695808. Its totient is φ = 32369559552.

The previous prime is 127056324247. The next prime is 127056324287. The reversal of 127056324276 is 672423650721.

127056324276 is a `hidden beast` number, since 1 + 2 + 7 + 0 + 5 + 632 + 4 + 2 + 7 + 6 = 666.

It is a super-2 number, since 2×127056324276² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 433639186 + ... + 433639478.

It is an arithmetic number, because the mean of its divisors is an integer number (737126208).

Almost surely, 2^127056324276 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127056324276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212292347904).

127056324276 is an abundant number, since it is smaller than the sum of its proper divisors (297528371532).

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

127056324276 is a wasteful number, since it uses less digits than its factorization.

127056324276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

Adding to 127056324276 its reverse (672423650721), we get a palindrome (799479974997).

The spelling of 127056324276 in words is "one hundred twenty-seven billion, fifty-six million, three hundred twenty-four thousand, two hundred seventy-six".