5579507280 has 160 divisors (see below), whose sum is σ = 17690296320. Its totient is φ = 1454287360.

The previous prime is 5579507249. The next prime is 5579507293. The reversal of 5579507280 is 827059755.

It is a super-2 number, since 2×5579507280² = 62261802975145996800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2703529 + ... + 2705591.

It is an arithmetic number, because the mean of its divisors is an integer number (110564352).

Almost surely, 2^5579507280 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 5579507280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8845148160).

5579507280 is an abundant number, since it is smaller than the sum of its proper divisors (12110789040).

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

5579507280 is a wasteful number, since it uses less digits than its factorization.

5579507280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 48.

The square root of 5579507280 is about 74696.0994965601. The cubic root of 5579507280 is about 1773.6392167747.

The spelling of 5579507280 in words is "five billion, five hundred seventy-nine million, five hundred seven thousand, two hundred eighty".