127275546240 has 576 divisors, whose sum is σ = 481239027360. Its totient is φ = 32139638784.

The previous prime is 127275546239. The next prime is 127275546287. The reversal of 127275546240 is 42645572721.

127275546240 is a `hidden beast` number, since 1 + 2 + 72 + 7 + 554 + 6 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 56141587 + ... + 56143853.

Almost surely, 2^127275546240 is an apocalyptic number.

127275546240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127275546240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240619513680).

127275546240 is an abundant number, since it is smaller than the sum of its proper divisors (353963481120).

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

127275546240 is an equidigital number, since it uses as much as digits as its factorization.

127275546240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2339 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 127275546240 in words is "one hundred twenty-seven billion, two hundred seventy-five million, five hundred forty-six thousand, two hundred forty".