55825200 has 150 divisors (see below), whose sum is σ = 200468444. Its totient is φ = 14878080.

The previous prime is 55825177. The next prime is 55825213. The reversal of 55825200 is 252855.

55825200 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 (150).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 29 ways as a sum of consecutive naturals, for example, 31539 + ... + 33261.

Almost surely, 2^55825200 is an apocalyptic number.

55825200 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 55825200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100234222).

55825200 is an abundant number, since it is smaller than the sum of its proper divisors (144643244).

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

55825200 is a wasteful number, since it uses less digits than its factorization.

55825200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 55825200 is about 7471.6263289862. The cubic root of 55825200 is about 382.1877497805.

The spelling of 55825200 in words is "fifty-five million, eight hundred twenty-five thousand, two hundred".