55504800 has 216 divisors, whose sum is σ = 211134924. Its totient is φ = 13639680.

The previous prime is 55504793. The next prime is 55504807. The reversal of 55504800 is 840555.

It is an interprime number because it is at equal distance from previous prime (55504793) and next prime (55504807).

It can be written as a sum of positive squares in 6 ways, for example, as 13046544 + 42458256 = 3612^2 + 6516^2 .

It is not an unprimeable number, because it can be changed into a prime (55504807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 93304 + ... + 93896.

Almost surely, 2^55504800 is an apocalyptic number.

55504800 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 55504800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105567462).

55504800 is an abundant number, since it is smaller than the sum of its proper divisors (155630124).

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

55504800 is a wasteful number, since it uses less digits than its factorization.

55504800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 55504800 is about 7450.1543608170. The cubic root of 55504800 is about 381.4551775647.

The spelling of 55504800 in words is "fifty-five million, five hundred four thousand, eight hundred".