13367360045600 has 576 divisors, whose sum is σ = 39423376242432. Its totient is φ = 4365926400000.

The previous prime is 13367360045587. The next prime is 13367360045603. The reversal of 13367360045600 is 654006376331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (13367360045603) 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 95 ways as a sum of consecutive naturals, for example, 1572441350 + ... + 1572449850.

It is an arithmetic number, because the mean of its divisors is an integer number (68443361532).

Almost surely, 2^{13367360045600} is an apocalyptic number.

13367360045600 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 13367360045600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19711688121216).

13367360045600 is an abundant number, since it is smaller than the sum of its proper divisors (26056016196832).

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

13367360045600 is a wasteful number, since it uses less digits than its factorization.

13367360045600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9029 (or 9016 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 44.

The spelling of 13367360045600 in words is "thirteen trillion, three hundred sixty-seven billion, three hundred sixty million, forty-five thousand, six hundred".