13521105444000 has 768 divisors, whose sum is σ = 55264062357504. Its totient is φ = 2807599104000.

The previous prime is 13521105443987. The next prime is 13521105444023. The reversal of 13521105444000 is 44450112531.

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

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, 1568023689 + ... + 1568032311.

It is an arithmetic number, because the mean of its divisors is an integer number (71958414528).

Almost surely, 2^{13521105444000} is an apocalyptic number.

13521105444000 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 13521105444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27632031178752).

13521105444000 is an abundant number, since it is smaller than the sum of its proper divisors (41742956913504).

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

13521105444000 is a wasteful number, since it uses less digits than its factorization.

13521105444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10366 (or 10348 counting only the distinct ones).

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

Adding to 13521105444000 its reverse (44450112531), we get a palindrome (13565555556531).

The spelling of 13521105444000 in words is "thirteen trillion, five hundred twenty-one billion, one hundred five million, four hundred forty-four thousand".