13582316980800 has 1008 divisors, whose sum is σ = 51799853628432. Its totient is φ = 3363412377600.

The previous prime is 13582316980777. The next prime is 13582316980801. The reversal of 13582316980800 is 808961328531.

It can be written as a sum of positive squares in 24 ways, for example, as 6614237537856 + 6968079442944 = 2571816^2 + 2639712^2 .

It is not an unprimeable number, because it can be changed into a prime (13582316980801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10281844140 + ... + 10281845460.

It is an arithmetic number, because the mean of its divisors is an integer number (51388743679).

Almost surely, 2^{13582316980800} is an apocalyptic number.

13582316980800 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 13582316980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25899926814216).

13582316980800 is an abundant number, since it is smaller than the sum of its proper divisors (38217536647632).

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

13582316980800 is a wasteful number, since it uses less digits than its factorization.

13582316980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1896 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 13582316980800 in words is "thirteen trillion, five hundred eighty-two billion, three hundred sixteen million, nine hundred eighty thousand, eight hundred".