13352024000 has 224 divisors, whose sum is σ = 38064399360. Its totient is φ = 4544640000.

The previous prime is 13352023967. The next prime is 13352024011. The reversal of 13352024000 is 42025331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8455211 + ... + 8456789.

Almost surely, 2^13352024000 is an apocalyptic number.

13352024000 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 13352024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19032199680).

13352024000 is an abundant number, since it is smaller than the sum of its proper divisors (24712375360).

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

13352024000 is a wasteful number, since it uses less digits than its factorization.

13352024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1764 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 13352024000 its reverse (42025331), we get a palindrome (13394049331).

The spelling of 13352024000 in words is "thirteen billion, three hundred fifty-two million, twenty-four thousand".