13535514320000 has 160 divisors (see below), whose sum is σ = 33730500769020. Its totient is φ = 5408632832000.

The previous prime is 13535514319993. The next prime is 13535514320077. The reversal of 13535514320000 is 2341553531.

13535514320000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 1564080399424 + 11971433920576 = 1250632^2 + 3459976^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 78073412 + ... + 78246588.

Almost surely, 2^{13535514320000} is an apocalyptic number.

13535514320000 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 13535514320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16865250384510).

13535514320000 is an abundant number, since it is smaller than the sum of its proper divisors (20194986449020).

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

13535514320000 is an frugal number, since it uses more digits than its factorization.

13535514320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174188 (or 174161 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 32.

Adding to 13535514320000 its reverse (2341553531), we get a palindrome (13537855873531).

The spelling of 13535514320000 in words is "thirteen trillion, five hundred thirty-five billion, five hundred fourteen million, three hundred twenty thousand".