13533420384 has 576 divisors, whose sum is σ = 47432915712. Its totient is φ = 3749068800.

The previous prime is 13533420353. The next prime is 13533420389. The reversal of 13533420384 is 48302433531.

13533420384 is a `hidden beast` number, since 1 + 3 + 533 + 42 + 0 + 3 + 84 = 666.

13533420384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13533420389) 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, 59618479 + ... + 59618705.

It is an arithmetic number, because the mean of its divisors is an integer number (82348812).

Almost surely, 2^13533420384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13533420384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23716457856).

13533420384 is an abundant number, since it is smaller than the sum of its proper divisors (33899495328).

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

13533420384 is a wasteful number, since it uses less digits than its factorization.

13533420384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 13533420384 in words is "thirteen billion, five hundred thirty-three million, four hundred twenty thousand, three hundred eighty-four".