55584388800 has 504 divisors, whose sum is σ = 208975708032. Its totient is φ = 13989888000.

The previous prime is 55584388753. The next prime is 55584388813. The reversal of 55584388800 is 888348555.

It is a happy number.

55584388800 is a `hidden beast` number, since 5 + 558 + 4 + 3 + 8 + 8 + 80 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18300882 + ... + 18303918.

Almost surely, 2^55584388800 is an apocalyptic number.

55584388800 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 55584388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104487854016).

55584388800 is an abundant number, since it is smaller than the sum of its proper divisors (153391319232).

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

55584388800 is a wasteful number, since it uses less digits than its factorization.

55584388800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3137 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 6144000, while the sum is 54.

The spelling of 55584388800 in words is "fifty-five billion, five hundred eighty-four million, three hundred eighty-eight thousand, eight hundred".