13425104000 has 512 divisors, whose sum is σ = 44130977280. Its totient is φ = 3932160000.

The previous prime is 13425103889. The next prime is 13425104023. The reversal of 13425104000 is 40152431.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20943680 + ... + 20944320.

It is an arithmetic number, because the mean of its divisors is an integer number (86193315).

Almost surely, 2^13425104000 is an apocalyptic number.

13425104000 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 13425104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22065488640).

13425104000 is an abundant number, since it is smaller than the sum of its proper divisors (30705873280).

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

13425104000 is a wasteful number, since it uses less digits than its factorization.

13425104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 13425104000 its reverse (40152431), we get a palindrome (13465256431).

The spelling of 13425104000 in words is "thirteen billion, four hundred twenty-five million, one hundred four thousand".