13025024000 has 192 divisors, whose sum is σ = 32947780320. Its totient is φ = 5138841600.

The previous prime is 13025023969. The next prime is 13025024009. The reversal of 13025024000 is 42052031.

It is a self number, because there is not a number n which added to its sum of digits gives 13025024000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13025024009) 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, 21247694 + ... + 21248306.

Almost surely, 2^13025024000 is an apocalyptic number.

13025024000 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 13025024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16473890160).

13025024000 is an abundant number, since it is smaller than the sum of its proper divisors (19922756320).

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

13025024000 is an frugal number, since it uses more digits than its factorization.

13025024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

Adding to 13025024000 its reverse (42052031), we get a palindrome (13067076031).

The spelling of 13025024000 in words is "thirteen billion, twenty-five million, twenty-four thousand".