5579413840000 has 1920 divisors, whose sum is σ = 19784140548480. Its totient is φ = 1512898560000.

The previous prime is 5579413839931. The next prime is 5579413840037. The reversal of 5579413840000 is 483149755.

It is a super-3 number, since 3×5579413840000³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 28908879904 + ... + 28908880096.

It is an arithmetic number, because the mean of its divisors is an integer number (10304239869).

Almost surely, 2^{5579413840000} is an apocalyptic number.

5579413840000 is a gapful number since it is divisible by the number (50) 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 5579413840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9892070274240).

5579413840000 is an abundant number, since it is smaller than the sum of its proper divisors (14204726708480).

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

5579413840000 is a wasteful number, since it uses less digits than its factorization.

5579413840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 46.

Adding to 5579413840000 its reverse (483149755), we get a palindrome (5579896989755).

The spelling of 5579413840000 in words is "five trillion, five hundred seventy-nine billion, four hundred thirteen million, eight hundred forty thousand".