127554240564 has 192 divisors, whose sum is σ = 344377958400. Its totient is φ = 40799203200.

The previous prime is 127554240563. The next prime is 127554240637. The reversal of 127554240564 is 465042455721.

127554240564 is a `hidden beast` number, since 1 + 2 + 7 + 5 + 5 + 42 + 40 + 564 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127554240563) 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 63 ways as a sum of consecutive naturals, for example, 152030857 + ... + 152031695.

It is an arithmetic number, because the mean of its divisors is an integer number (1793635200).

Almost surely, 2^127554240564 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 127554240564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172188979200).

127554240564 is an abundant number, since it is smaller than the sum of its proper divisors (216823717836).

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

127554240564 is a wasteful number, since it uses less digits than its factorization.

127554240564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 45.

The spelling of 127554240564 in words is "one hundred twenty-seven billion, five hundred fifty-four million, two hundred forty thousand, five hundred sixty-four".