55352800 has 36 divisors (see below), whose sum is σ = 135131976. Its totient is φ = 22140800.

The previous prime is 55352767. The next prime is 55352809. The reversal of 55352800 is 825355.

55352800 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 not an unprimeable number, because it can be changed into a prime (55352809) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 33796 + ... + 35395.

It is an arithmetic number, because the mean of its divisors is an integer number (3753666).

Almost surely, 2^55352800 is an apocalyptic number.

55352800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55352800 is an abundant number, since it is smaller than the sum of its proper divisors (79779176).

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

55352800 is a wasteful number, since it uses less digits than its factorization.

55352800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69211 (or 69198 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The square root of 55352800 is about 7439.9462363649. The cubic root of 55352800 is about 381.1066539844.

The spelling of 55352800 in words is "fifty-five million, three hundred fifty-two thousand, eight hundred".