5579689088000 has 176 divisors, whose sum is σ = 14400116874000. Its totient is φ = 2154912972800.

The previous prime is 5579689087993. The next prime is 5579689088027. The reversal of 5579689088000 is 8809869755.

It can be written as a sum of positive squares in 8 ways, for example, as 1365569867776 + 4214119220224 = 1168576^2 + 2052832^2 .

It is a super-2 number, since 2×5579689088000² (a number of 26 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 2960426 + ... + 4463574.

It is an arithmetic number, because the mean of its divisors is an integer number (81818845875).

Almost surely, 2^{5579689088000} is an apocalyptic number.

5579689088000 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 5579689088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7200058437000).

5579689088000 is an abundant number, since it is smaller than the sum of its proper divisors (8820427786000).

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

5579689088000 is a wasteful number, since it uses less digits than its factorization.

5579689088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503213 (or 1503185 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 65.

The spelling of 5579689088000 in words is "five trillion, five hundred seventy-nine billion, six hundred eighty-nine million, eighty-eight thousand".