55330800 has 180 divisors, whose sum is σ = 206399736. Its totient is φ = 12633600.

The previous prime is 55330783. The next prime is 55330813. The reversal of 55330800 is 803355.

55330800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×55330800² = 6122994857280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 35 ways as a sum of consecutive naturals, for example, 58330 + ... + 59270.

Almost surely, 2^55330800 is an apocalyptic number.

55330800 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 55330800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103199868).

55330800 is an abundant number, since it is smaller than the sum of its proper divisors (151068936).

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

55330800 is a wasteful number, since it uses less digits than its factorization.

55330800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 55330800 is about 7438.4675841197. The cubic root of 55330800 is about 381.0561569459.

The spelling of 55330800 in words is "fifty-five million, three hundred thirty thousand, eight hundred".