13520034304000 has 208 divisors, whose sum is σ = 38562165922176. Its totient is φ = 4635439104000.

The previous prime is 13520034303991. The next prime is 13520034304069. The reversal of 13520034304000 is 40343002531.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1697835 + ... + 5470165.

It is an arithmetic number, because the mean of its divisors is an integer number (185395028472).

Almost surely, 2^{13520034304000} is an apocalyptic number.

13520034304000 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 13520034304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19281082961088).

13520034304000 is an abundant number, since it is smaller than the sum of its proper divisors (25042131618176).

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

13520034304000 is an frugal number, since it uses more digits than its factorization.

13520034304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3772377 (or 3772345 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 13520034304000 its reverse (40343002531), we get a palindrome (13560377306531).

The spelling of 13520034304000 in words is "thirteen trillion, five hundred twenty billion, thirty-four million, three hundred four thousand".