12645875511360 has 1792 divisors, whose sum is σ = 58842298368000. Its totient is φ = 2480718348288.

The previous prime is 12645875511281. The next prime is 12645875511383. The reversal of 12645875511360 is 6311557854621.

12645875511360 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 5 + 87 + 551 + 1 + 3 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12645875511297 and 12645875511306.

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 255 ways as a sum of consecutive naturals, for example, 1109378941 + ... + 1109390339.

It is an arithmetic number, because the mean of its divisors is an integer number (32836104000).

Almost surely, 2^{12645875511360} is an apocalyptic number.

12645875511360 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 12645875511360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29421149184000).

12645875511360 is an abundant number, since it is smaller than the sum of its proper divisors (46196422856640).

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

12645875511360 is a wasteful number, since it uses less digits than its factorization.

12645875511360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11545 (or 11529 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 12645875511360 in words is "twelve trillion, six hundred forty-five billion, eight hundred seventy-five million, five hundred eleven thousand, three hundred sixty".