5580683536896 has 1120 divisors, whose sum is σ = 18556312819968. Its totient is φ = 1665462435840.

The previous prime is 5580683536861. The next prime is 5580683536903. The reversal of 5580683536896 is 6986353860855.

5580683536896 is a `hidden beast` number, since 5 + 5 + 8 + 0 + 6 + 8 + 3 + 536 + 89 + 6 = 666.

It is a super-2 number, since 2×5580683536896² (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 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 111 ways as a sum of consecutive naturals, for example, 33417266605 + ... + 33417266771.

Almost surely, 2^{5580683536896} 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 5580683536896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9278156409984).

5580683536896 is an abundant number, since it is smaller than the sum of its proper divisors (12975629283072).

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

5580683536896 is an equidigital number, since it uses as much as digits as its factorization.

5580683536896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 1119744000, while the sum is 72.

The spelling of 5580683536896 in words is "five trillion, five hundred eighty billion, six hundred eighty-three million, five hundred thirty-six thousand, eight hundred ninety-six".