55588800 has 168 divisors, whose sum is σ = 187905136. Its totient is φ = 14376960.

The previous prime is 55588783. The next prime is 55588807. The reversal of 55588800 is 888555.

It is a super-2 number, since 2×55588800² = 6180229370880000, which contains 22 as substring.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55588807) by changing a digit.

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, 177444 + ... + 177756.

Almost surely, 2^55588800 is an apocalyptic number.

55588800 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 55588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93952568).

55588800 is an abundant number, since it is smaller than the sum of its proper divisors (132316336).

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

55588800 is a wasteful number, since it uses less digits than its factorization.

55588800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 39.

The square root of 55588800 is about 7455.7896966049. The cubic root of 55588800 is about 381.6475097860.

The spelling of 55588800 in words is "fifty-five million, five hundred eighty-eight thousand, eight hundred".