55085800 has 192 divisors, whose sum is σ = 165168000. Its totient is φ = 16934400.

The previous prime is 55085773. The next prime is 55085861. The reversal of 55085800 is 858055.

It is a happy number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 754564 + ... + 754636.

It is an arithmetic number, because the mean of its divisors is an integer number (860250).

Almost surely, 2^55085800 is an apocalyptic number.

55085800 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 55085800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82584000).

55085800 is an abundant number, since it is smaller than the sum of its proper divisors (110082200).

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

55085800 is a wasteful number, since it uses less digits than its factorization.

55085800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 31.

The square root of 55085800 is about 7421.9808676660. The cubic root of 55085800 is about 380.4928968613.

It can be divided in two parts, 5 and 5085800, that added together give a palindrome (5085805).

The spelling of 55085800 in words is "fifty-five million, eighty-five thousand, eight hundred".