13520141450400 has 288 divisors, whose sum is σ = 47423073354048. Its totient is φ = 3325943808000.

The previous prime is 13520141450399. The next prime is 13520141450407. The reversal of 13520141450400 is 405414102531.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (13520141450407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49815867 + ... + 50086533.

It is an arithmetic number, because the mean of its divisors is an integer number (164663449146).

Almost surely, 2^{13520141450400} is an apocalyptic number.

13520141450400 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 13520141450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23711536677024).

13520141450400 is an abundant number, since it is smaller than the sum of its proper divisors (33902931903648).

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

13520141450400 is a wasteful number, since it uses less digits than its factorization.

13520141450400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272304 (or 272291 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 13520141450400 its reverse (405414102531), we get a palindrome (13925555552931).

The spelling of 13520141450400 in words is "thirteen trillion, five hundred twenty billion, one hundred forty-one million, four hundred fifty thousand, four hundred".