55829200 has 120 divisors (see below), whose sum is σ = 155482112. Its totient is φ = 18869760.

The previous prime is 55829183. The next prime is 55829219. The reversal of 55829200 is 292855.

It is a happy number.

55829200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 355522 + ... + 355678.

Almost surely, 2^55829200 is an apocalyptic number.

55829200 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 55829200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77741056).

55829200 is an abundant number, since it is smaller than the sum of its proper divisors (99652912).

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

55829200 is a wasteful number, since it uses less digits than its factorization.

55829200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 55829200 is about 7471.8940035308. The cubic root of 55829200 is about 382.1968777638.

The spelling of 55829200 in words is "fifty-five million, eight hundred twenty-nine thousand, two hundred".