5580537120 has 480 divisors, whose sum is σ = 21010207680. Its totient is φ = 1390970880.

The previous prime is 5580537103. The next prime is 5580537161. The reversal of 5580537120 is 217350855.

5580537120 is a `hidden beast` number, since 5 + 580 + 5 + 3 + 71 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×5580537120² = 62284789095395788800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32257354 + ... + 32257526.

It is an arithmetic number, because the mean of its divisors is an integer number (43771266).

Almost surely, 2^5580537120 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 5580537120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10505103840).

5580537120 is an abundant number, since it is smaller than the sum of its proper divisors (15429670560).

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

5580537120 is a wasteful number, since it uses less digits than its factorization.

5580537120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 5580537120 is about 74702.9927111357. The cubic root of 5580537120 is about 1773.7483334733.

Adding to 5580537120 its reverse (217350855), we get a palindrome (5797887975).

The spelling of 5580537120 in words is "five billion, five hundred eighty million, five hundred thirty-seven thousand, one hundred twenty".