5579160000 has 280 divisors, whose sum is σ = 19424782080. Its totient is φ = 1408896000.

The previous prime is 5579159987. The next prime is 5579160029. The reversal of 5579160000 is 619755.

It is a super-2 number, since 2×5579160000² = 62254052611200000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2278777 + ... + 2281223.

Almost surely, 2^5579160000 is an apocalyptic number.

5579160000 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 5579160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9712391040).

5579160000 is an abundant number, since it is smaller than the sum of its proper divisors (13845622080).

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

5579160000 is a wasteful number, since it uses less digits than its factorization.

5579160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2501 (or 2476 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 33.

The square root of 5579160000 is about 74693.7748410134. The cubic root of 5579160000 is about 1773.6024176945.

Adding to 5579160000 its reverse (619755), we get a palindrome (5579779755).

The spelling of 5579160000 in words is "five billion, five hundred seventy-nine million, one hundred sixty thousand".