13331861536000 has 576 divisors, whose sum is σ = 38612644761600. Its totient is φ = 4492153036800.

The previous prime is 13331861535983. The next prime is 13331861536001. The reversal of 13331861536000 is 63516813331.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13331861536001) 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 63 ways as a sum of consecutive naturals, for example, 8989791259 + ... + 8989792741.

It is an arithmetic number, because the mean of its divisors is an integer number (67035841600).

Almost surely, 2^{13331861536000} is an apocalyptic number.

13331861536000 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 13331861536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19306322380800).

13331861536000 is an abundant number, since it is smaller than the sum of its proper divisors (25280783225600).

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

13331861536000 is an equidigital number, since it uses as much as digits as its factorization.

13331861536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2187 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The spelling of 13331861536000 in words is "thirteen trillion, three hundred thirty-one billion, eight hundred sixty-one million, five hundred thirty-six thousand".