13560864420400 has 360 divisors, whose sum is σ = 36635935150080. Its totient is φ = 4783819392000.

The previous prime is 13560864420379. The next prime is 13560864420407. The reversal of 13560864420400 is 402446806531.

It is not an unprimeable number, because it can be changed into a prime (13560864420407) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 2162469265 + ... + 2162475535.

It is an arithmetic number, because the mean of its divisors is an integer number (101766486528).

Almost surely, 2^{13560864420400} is an apocalyptic number.

13560864420400 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 13560864420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18317967575040).

13560864420400 is an abundant number, since it is smaller than the sum of its proper divisors (23075070729680).

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

13560864420400 is a wasteful number, since it uses less digits than its factorization.

13560864420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6733 (or 6685 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 43.

The spelling of 13560864420400 in words is "thirteen trillion, five hundred sixty billion, eight hundred sixty-four million, four hundred twenty thousand, four hundred".