55558800 has 360 divisors, whose sum is σ = 223075008. Its totient is φ = 12672000.

The previous prime is 55558757. The next prime is 55558807. The reversal of 55558800 is 885555.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (55558807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 910770 + ... + 910830.

Almost surely, 2^55558800 is an apocalyptic number.

55558800 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 55558800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111537504).

55558800 is an abundant number, since it is smaller than the sum of its proper divisors (167516208).

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

55558800 is a wasteful number, since it uses less digits than its factorization.

55558800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 36.

The square root of 55558800 is about 7453.7775657716. Note that the first 3 decimals coincide. The cubic root of 55558800 is about 381.5788419634.

It can be divided in two parts, 55 and 558800, that added together give a palindrome (558855).

The spelling of 55558800 in words is "fifty-five million, five hundred fifty-eight thousand, eight hundred".