13500320064 has 336 divisors, whose sum is σ = 45632802816. Its totient is φ = 3483110400.

The previous prime is 13500320047. The next prime is 13500320081. The reversal of 13500320064 is 46002300531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13500320047) and next prime (13500320081).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19765867 + ... + 19766549.

Almost surely, 2^13500320064 is an apocalyptic number.

13500320064 is a gapful number since it is divisible by the number (14) 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 13500320064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22816401408).

13500320064 is an abundant number, since it is smaller than the sum of its proper divisors (32132482752).

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

13500320064 is a wasteful number, since it uses less digits than its factorization.

13500320064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 13500320064 its reverse (46002300531), we get a palindrome (59502620595).

The spelling of 13500320064 in words is "thirteen billion, five hundred million, three hundred twenty thousand, sixty-four".