5605108346880 has 2080 divisors, whose sum is σ = 24032903545728. Its totient is φ = 1223059046400.

The previous prime is 5605108346867. The next prime is 5605108346983. The reversal of 5605108346880 is 886438015065.

5605108346880 is a `hidden beast` number, since 5 + 6 + 0 + 510 + 8 + 3 + 46 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 29042012064 + ... + 29042012256.

Almost surely, 2^{5605108346880} 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 5605108346880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12016451772864).

5605108346880 is an abundant number, since it is smaller than the sum of its proper divisors (18427795198848).

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

5605108346880 is a wasteful number, since it uses less digits than its factorization.

5605108346880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 5605108346880 in words is "five trillion, six hundred five billion, one hundred eight million, three hundred forty-six thousand, eight hundred eighty".