5579121240 has 960 divisors, whose sum is σ = 25027833600. Its totient is φ = 1088017920.

The previous prime is 5579121227. The next prime is 5579121241. The reversal of 5579121240 is 421219755.

5579121240 is a `hidden beast` number, since 557 + 91 + 2 + 12 + 4 + 0 = 666.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a super-3 number, since 3×5579121240³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5579121195 and 5579121204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5579121241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 52141267 + ... + 52141373.

It is an arithmetic number, because the mean of its divisors is an integer number (26070660).

Almost surely, 2^5579121240 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 5579121240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12513916800).

5579121240 is an abundant number, since it is smaller than the sum of its proper divisors (19448712360).

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

5579121240 is a wasteful number, since it uses less digits than its factorization.

5579121240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 5579121240 is about 74693.5153811896. The cubic root of 5579121240 is about 1773.5983104461.

The spelling of 5579121240 in words is "five billion, five hundred seventy-nine million, one hundred twenty-one thousand, two hundred forty".