127848553666560 has 960 divisors, whose sum is σ = 469340871199200. Its totient is φ = 33276336537600.

The previous prime is 127848553666489. The next prime is 127848553666567. The reversal of 127848553666560 is 65666355848721.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127848553666567) 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 79 ways as a sum of consecutive naturals, for example, 6628045396 + ... + 6628064684.

Almost surely, 2^{127848553666560} is an apocalyptic number.

127848553666560 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 127848553666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234670435599600).

127848553666560 is an abundant number, since it is smaller than the sum of its proper divisors (341492317532640).

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

127848553666560 is a wasteful number, since it uses less digits than its factorization.

127848553666560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19520 (or 19491 counting only the distinct ones).

The product of its (nonzero) digits is 1741824000, while the sum is 72.

The spelling of 127848553666560 in words is "one hundred twenty-seven trillion, eight hundred forty-eight billion, five hundred fifty-three million, six hundred sixty-six thousand, five hundred sixty".