5519905438080 has 512 divisors, whose sum is σ = 19319857274880. Its totient is φ = 1329424588800.

The previous prime is 5519905437997. The next prime is 5519905438081. The reversal of 5519905438080 is 808345099155.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 5519905438080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5519905438081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4915320399 + ... + 4915321521.

It is an arithmetic number, because the mean of its divisors is an integer number (37734096240).

Almost surely, 2^{5519905438080} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5519905438080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9659928637440).

5519905438080 is an abundant number, since it is smaller than the sum of its proper divisors (13799951836800).

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

5519905438080 is a wasteful number, since it uses less digits than its factorization.

5519905438080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2470 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 57.

The spelling of 5519905438080 in words is "five trillion, five hundred nineteen billion, nine hundred five million, four hundred thirty-eight thousand, eighty".