12628165583360 has 160 divisors (see below), whose sum is σ = 30625348102272. Its totient is φ = 4993612349440.

The previous prime is 12628165583323. The next prime is 12628165583389. The reversal of 12628165583360 is 6338556182621.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 12628165583296 and 12628165583305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88128092 + ... + 88271268.

Almost surely, 2^{12628165583360} is an apocalyptic number.

12628165583360 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 12628165583360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15312674051136).

12628165583360 is an abundant number, since it is smaller than the sum of its proper divisors (17997182518912).

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

12628165583360 is a wasteful number, since it uses less digits than its factorization.

12628165583360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143594 (or 143578 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 56.

The spelling of 12628165583360 in words is "twelve trillion, six hundred twenty-eight billion, one hundred sixty-five million, five hundred eighty-three thousand, three hundred sixty".