13532064000 has 576 divisors, whose sum is σ = 55354790400. Its totient is φ = 2853273600.

The previous prime is 13532063969. The next prime is 13532064001. The reversal of 13532064000 is 46023531.

It is a happy number.

It is a super-2 number, since 2×13532064000² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (13532064001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 8735226 + ... + 8736774.

Almost surely, 2^13532064000 is an apocalyptic number.

13532064000 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 13532064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27677395200).

13532064000 is an abundant number, since it is smaller than the sum of its proper divisors (41822726400).

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

13532064000 is a wasteful number, since it uses less digits than its factorization.

13532064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1579 counting only the distinct ones).

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

Adding to 13532064000 its reverse (46023531), we get a palindrome (13578087531).

The spelling of 13532064000 in words is "thirteen billion, five hundred thirty-two million, sixty-four thousand".