12648553104960 has 336 divisors, whose sum is σ = 45439101586944. Its totient is φ = 3223327371264.

The previous prime is 12648553104949. The next prime is 12648553104973. The reversal of 12648553104960 is 6940135584621.

12648553104960 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 8 + 5 + 531 + 0 + 49 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12648553104897 and 12648553104906.

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 47 ways as a sum of consecutive naturals, for example, 72312969 + ... + 72487671.

Almost surely, 2^{12648553104960} is an apocalyptic number.

12648553104960 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 12648553104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22719550793472).

12648553104960 is an abundant number, since it is smaller than the sum of its proper divisors (32790548481984).

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

12648553104960 is a wasteful number, since it uses less digits than its factorization.

12648553104960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175842 (or 175829 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 12648553104960 in words is "twelve trillion, six hundred forty-eight billion, five hundred fifty-three million, one hundred four thousand, nine hundred sixty".