54355120 has 60 divisors (see below), whose sum is σ = 134303904. Its totient is φ = 20454400.

The previous prime is 54355099. The next prime is 54355151. The reversal of 54355120 is 2155345.

54355120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 21945 + ... + 24295.

Almost surely, 2^54355120 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 54355120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67151952).

54355120 is an abundant number, since it is smaller than the sum of its proper divisors (79948784).

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

54355120 is a wasteful number, since it uses less digits than its factorization.

54355120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 54355120 is about 7372.5924883992. The cubic root of 54355120 is about 378.8030667003.

The spelling of 54355120 in words is "fifty-four million, three hundred fifty-five thousand, one hundred twenty".