13533414320 has 80 divisors (see below), whose sum is σ = 32097811680. Its totient is φ = 5304778752.

The previous prime is 13533414319. The next prime is 13533414329. The reversal of 13533414320 is 2341433531.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (13533414329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5031536 + ... + 5034224.

It is an arithmetic number, because the mean of its divisors is an integer number (401222646).

Almost surely, 2^13533414320 is an apocalyptic number.

13533414320 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 13533414320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16048905840).

13533414320 is an abundant number, since it is smaller than the sum of its proper divisors (18564397360).

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

13533414320 is a wasteful number, since it uses less digits than its factorization.

13533414320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3942 (or 3936 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

Adding to 13533414320 its reverse (2341433531), we get a palindrome (15874847851).

The spelling of 13533414320 in words is "thirteen billion, five hundred thirty-three million, four hundred fourteen thousand, three hundred twenty".