55505000 has 80 divisors (see below), whose sum is σ = 137908980. Its totient is φ = 20864000.

The previous prime is 55504997. The next prime is 55505029. The reversal of 55505000 is 50555.

It is a happy number.

55505000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 4153444 + 51351556 = 2038^2 + 7166^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 84674 + ... + 85326.

Almost surely, 2^55505000 is an apocalyptic number.

55505000 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 55505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68954490).

55505000 is an abundant number, since it is smaller than the sum of its proper divisors (82403980).

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

55505000 is a wasteful number, since it uses less digits than its factorization.

55505000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 625, while the sum is 20.

The square root of 55505000 is about 7450.1677833456. The cubic root of 55505000 is about 381.4556357289.

Adding to 55505000 its reverse (50555), we get a palindrome (55555555).

The spelling of 55505000 in words is "fifty-five million, five hundred five thousand".