55205120 has 144 divisors (see below), whose sum is σ = 145696320. Its totient is φ = 19955712.

The previous prime is 55205099. The next prime is 55205123. The reversal of 55205120 is 2150255.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 55205092 and 55205101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55205123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 935651 + ... + 935709.

It is an arithmetic number, because the mean of its divisors is an integer number (1011780).

Almost surely, 2^55205120 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 55205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72848160).

55205120 is an abundant number, since it is smaller than the sum of its proper divisors (90491200).

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

55205120 is a wasteful number, since it uses less digits than its factorization.

55205120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

The square root of 55205120 is about 7430.0148048305. The cubic root of 55205120 is about 380.7674241841.

Adding to 55205120 its reverse (2150255), we get a palindrome (57355375).

The spelling of 55205120 in words is "fifty-five million, two hundred five thousand, one hundred twenty".