13425304516000 has 768 divisors, whose sum is σ = 38614910810112. Its totient is φ = 4547321856000.

The previous prime is 13425304515991. The next prime is 13425304516027. The reversal of 13425304516000 is 61540352431.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3141889864 + ... + 3141894136.

It is an arithmetic number, because the mean of its divisors is an integer number (50279831784).

Almost surely, 2^{13425304516000} is an apocalyptic number.

13425304516000 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 13425304516000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19307455405056).

13425304516000 is an abundant number, since it is smaller than the sum of its proper divisors (25189606294112).

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

13425304516000 is a wasteful number, since it uses less digits than its factorization.

13425304516000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4442 (or 4424 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

Adding to 13425304516000 its reverse (61540352431), we get a palindrome (13486844868431).

The spelling of 13425304516000 in words is "thirteen trillion, four hundred twenty-five billion, three hundred four million, five hundred sixteen thousand".