12411963553680 has 320 divisors, whose sum is σ = 43377223680000. Its totient is φ = 3261526248960.

The previous prime is 12411963553631. The next prime is 12411963553681. The reversal of 12411963553680 is 8635536911421.

12411963553680 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 1 + 9 + 6 + 3 + 553 + 6 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12411963553681) 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 63 ways as a sum of consecutive naturals, for example, 306546397 + ... + 306586883.

It is an arithmetic number, because the mean of its divisors is an integer number (135553824000).

Almost surely, 2^{12411963553680} is an apocalyptic number.

12411963553680 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 12411963553680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21688611840000).

12411963553680 is an abundant number, since it is smaller than the sum of its proper divisors (30965260126320).

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

12411963553680 is a wasteful number, since it uses less digits than its factorization.

12411963553680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42579 (or 42567 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 12411963553680 in words is "twelve trillion, four hundred eleven billion, nine hundred sixty-three million, five hundred fifty-three thousand, six hundred eighty".