55833120 has 288 divisors, whose sum is σ = 226437120. Its totient is φ = 12257280.

The previous prime is 55833109. The next prime is 55833157. The reversal of 55833120 is 2133855.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 292225 + ... + 292415.

It is an arithmetic number, because the mean of its divisors is an integer number (786240).

Almost surely, 2^55833120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55833120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113218560).

55833120 is an abundant number, since it is smaller than the sum of its proper divisors (170604000).

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

55833120 is a wasteful number, since it uses less digits than its factorization.

55833120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 55833120 is about 7472.1563152814. The cubic root of 55833120 is about 382.2058227645.

Adding to 55833120 its reverse (2133855), we get a palindrome (57966975).

The spelling of 55833120 in words is "fifty-five million, eight hundred thirty-three thousand, one hundred twenty".