5580368338896 has 320 divisors, whose sum is σ = 18164449900800. Its totient is φ = 1626065362944.

The previous prime is 5580368338879. The next prime is 5580368338997. The reversal of 5580368338896 is 6988338630855.

5580368338896 is a `hidden beast` number, since 5 + 5 + 80 + 3 + 6 + 83 + 388 + 96 = 666.

It is a super-2 number, since 2×5580368338896² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 347526900 + ... + 347542956.

It is an arithmetic number, because the mean of its divisors is an integer number (56763905940).

Almost surely, 2^{5580368338896} 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 5580368338896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9082224950400).

5580368338896 is an abundant number, since it is smaller than the sum of its proper divisors (12584081561904).

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

5580368338896 is a wasteful number, since it uses less digits than its factorization.

5580368338896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19363 (or 19351 counting only the distinct ones).

The product of its (nonzero) digits is 895795200, while the sum is 72.

The spelling of 5580368338896 in words is "five trillion, five hundred eighty billion, three hundred sixty-eight million, three hundred thirty-eight thousand, eight hundred ninety-six".