55506000 has 240 divisors, whose sum is σ = 202183488. Its totient is φ = 12992000.

The previous prime is 55505993. The next prime is 55506023. The reversal of 55506000 is 60555.

55506000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1913986 + ... + 1914014.

Almost surely, 2^55506000 is an apocalyptic number.

55506000 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 55506000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101091744).

55506000 is an abundant number, since it is smaller than the sum of its proper divisors (146677488).

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

55506000 is a wasteful number, since it uses less digits than its factorization.

55506000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 21.

The square root of 55506000 is about 7450.2348956258. The cubic root of 55506000 is about 381.4579265336.

Adding to 55506000 its reverse (60555), we get a palindrome (55566555).

The spelling of 55506000 in words is "fifty-five million, five hundred six thousand".