5520412800 has 576 divisors, whose sum is σ = 22789166400. Its totient is φ = 1246371840.

The previous prime is 5520412783. The next prime is 5520412811. The reversal of 5520412800 is 82140255.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28022302 + ... + 28022498.

It is an arithmetic number, because the mean of its divisors is an integer number (39564525).

Almost surely, 2^5520412800 is an apocalyptic number.

5520412800 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 5520412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11394583200).

5520412800 is an abundant number, since it is smaller than the sum of its proper divisors (17268753600).

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

5520412800 is a wasteful number, since it uses less digits than its factorization.

5520412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 5520412800 is about 74299.4804827059. The cubic root of 5520412800 is about 1767.3552380962.

It can be divided in two parts, 55 and 20412800, that added together give a triangular number (20412855 = T₆₃₈₉).

The spelling of 5520412800 in words is "five billion, five hundred twenty million, four hundred twelve thousand, eight hundred".