55368200 has 48 divisors (see below), whose sum is σ = 130053060. Its totient is φ = 21920000.

The previous prime is 55368191. The next prime is 55368239. The reversal of 55368200 is 286355.

It can be written as a sum of positive squares in 6 ways, for example, as 30228004 + 25140196 = 5498^2 + 5014^2 .

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 11 ways as a sum of consecutive naturals, for example, 18830 + ... + 21570.

Almost surely, 2^55368200 is an apocalyptic number.

55368200 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 55368200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65026530).

55368200 is an abundant number, since it is smaller than the sum of its proper divisors (74684860).

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

55368200 is a wasteful number, since it uses less digits than its factorization.

55368200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2858 (or 2849 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 55368200 is about 7440.9811181053. The cubic root of 55368200 is about 381.1419939507.

The spelling of 55368200 in words is "fifty-five million, three hundred sixty-eight thousand, two hundred".