5659280000000 has 704 divisors, whose sum is σ = 15832225094400. Its totient is φ = 2004480000000.

The previous prime is 5659279999973. The next prime is 5659280000057. The reversal of 5659280000000 is 829565.

It is a tau number, because it is divible by the number of its divisors (704).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 51919999946 + ... + 51920000054.

It is an arithmetic number, because the mean of its divisors is an integer number (22488956100).

Almost surely, 2^{5659280000000} is an apocalyptic number.

5659280000000 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 5659280000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7916112547200).

5659280000000 is an abundant number, since it is smaller than the sum of its proper divisors (10172945094400).

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

5659280000000 is an frugal number, since it uses more digits than its factorization.

5659280000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

Adding to 5659280000000 its reverse (829565), we get a palindrome (5659280829565).

The spelling of 5659280000000 in words is "five trillion, six hundred fifty-nine billion, two hundred eighty million", and thus it is an aban number.