12824163498240 has 648 divisors, whose sum is σ = 47933428495680. Its totient is φ = 3164012347392.

The previous prime is 12824163498227. The next prime is 12824163498241. The reversal of 12824163498240 is 4289436142821.

12824163498240 is a `hidden beast` number, since 1 + 2 + 82 + 416 + 34 + 9 + 82 + 40 = 666.

It is not an unprimeable number, because it can be changed into a prime (12824163498241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 196394877 + ... + 196460163.

Almost surely, 2^{12824163498240} is an apocalyptic number.

12824163498240 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 12824163498240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23966714247840).

12824163498240 is an abundant number, since it is smaller than the sum of its proper divisors (35109264997440).

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

12824163498240 is a wasteful number, since it uses less digits than its factorization.

12824163498240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65407 (or 65373 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 12824163498240 in words is "twelve trillion, eight hundred twenty-four billion, one hundred sixty-three million, four hundred ninety-eight thousand, two hundred forty".