127530408996 has 81 divisors (see below), whose sum is σ = 328858560849. Its totient is φ = 41670918432.

The previous prime is 127530408989. The next prime is 127530409003. The reversal of 127530408996 is 699804035721.

The square root of 127530408996 is 357114.

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

127530408996 is a `hidden beast` number, since 1 + 27 + 530 + 4 + 0 + 89 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (127530408989) and next prime (127530409003).

It can be written as a sum of positive squares in only one way, i.e., 91936304100 + 35594104896 = 303210^2 + 188664^2 .

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 26 ways as a sum of consecutive naturals, for example, 113561691 + ... + 113562813.

It is a 1-persistent number, because it is pandigital, but 2⋅127530408996 = 255060817992 is not.

Almost surely, 2^127530408996 is an apocalyptic number.

127530408996 is the 357114-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127530408996

127530408996 is an abundant number, since it is smaller than the sum of its proper divisors (201328151853).

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

127530408996 is an equidigital number, since it uses as much as digits as its factorization.

127530408996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 127530408996 in words is "one hundred twenty-seven billion, five hundred thirty million, four hundred eight thousand, nine hundred ninety-six".