55005600 has 288 divisors, whose sum is σ = 202112064. Its totient is φ = 12902400.

The previous prime is 55005583. The next prime is 55005623. The reversal of 55005600 is 650055.

It is a congruent 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, 1279179 + ... + 1279221.

It is an arithmetic number, because the mean of its divisors is an integer number (701778).

Almost surely, 2^55005600 is an apocalyptic number.

55005600 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 55005600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101056032).

55005600 is an abundant number, since it is smaller than the sum of its proper divisors (147106464).

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

55005600 is a wasteful number, since it uses less digits than its factorization.

55005600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 107 counting only the distinct ones).

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

The square root of 55005600 is about 7416.5760294087. The cubic root of 55005600 is about 380.3081526283.

Adding to 55005600 its reverse (650055), we get a palindrome (55655655).

The spelling of 55005600 in words is "fifty-five million, five thousand, six hundred".