5580148800 has 168 divisors, whose sum is σ = 18898607872. Its totient is φ = 1440000000.

The previous prime is 5580148753. The next prime is 5580148813. The reversal of 5580148800 is 88410855.

It is a super-2 number, since 2×5580148800² = 62276121260282880000, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 130050 + ... + 167550.

Almost surely, 2^5580148800 is an apocalyptic number.

5580148800 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 5580148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9449303936).

5580148800 is an abundant number, since it is smaller than the sum of its proper divisors (13318459072).

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

5580148800 is a wasteful number, since it uses less digits than its factorization.

5580148800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37557 (or 37542 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 39.

The square root of 5580148800 is about 74700.3935732604. The cubic root of 5580148800 is about 1773.7071906039.

The spelling of 5580148800 in words is "five billion, five hundred eighty million, one hundred forty-eight thousand, eight hundred".