55585600 has 126 divisors (see below), whose sum is σ = 159330390. Its totient is φ = 19031040.

The previous prime is 55585577. The next prime is 55585603. The reversal of 55585600 is 658555.

It can be written as a sum of positive squares in 3 ways, for example, as 112896 + 55472704 = 336^2 + 7448^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55585603) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 78046 + ... + 78754.

Almost surely, 2^55585600 is an apocalyptic number.

55585600 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 55585600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79665195).

55585600 is an abundant number, since it is smaller than the sum of its proper divisors (103744790).

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

55585600 is a wasteful number, since it uses less digits than its factorization.

55585600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 34.

The square root of 55585600 is about 7455.5750951888. The cubic root of 55585600 is about 381.6401863955.

The spelling of 55585600 in words is "fifty-five million, five hundred eighty-five thousand, six hundred".