127644505560560 has 40 divisors (see below), whose sum is σ = 296773951680000. Its totient is φ = 51057720288512.

The previous prime is 127644505560493. The next prime is 127644505560563. The reversal of 127644505560560 is 65065505446721.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×127644505560560³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 127644505560496 and 127644505560505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127644505560563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84995066 + ... + 86483814.

It is an arithmetic number, because the mean of its divisors is an integer number (7419348792000).

Almost surely, 2^{127644505560560} is an apocalyptic number.

127644505560560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127644505560560 is an abundant number, since it is smaller than the sum of its proper divisors (169129446119440).

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

127644505560560 is a wasteful number, since it uses less digits than its factorization.

127644505560560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2560505 (or 2560499 counting only the distinct ones).

The product of its (nonzero) digits is 30240000, while the sum is 56.

The spelling of 127644505560560 in words is "one hundred twenty-seven trillion, six hundred forty-four billion, five hundred five million, five hundred sixty thousand, five hundred sixty".