54585118120 has 64 divisors (see below), whose sum is σ = 132533936640. Its totient is φ = 20113363200.

The previous prime is 54585118111. The next prime is 54585118129. The reversal of 54585118120 is 2181158545.

It is a happy number.

54585118120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54585118111) and next prime (54585118129).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (54585118129) 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, 148425 + ... + 362215.

It is an arithmetic number, because the mean of its divisors is an integer number (2070842760).

Almost surely, 2^54585118120 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 54585118120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66266968320).

54585118120 is an abundant number, since it is smaller than the sum of its proper divisors (77948818520).

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

54585118120 is a wasteful number, since it uses less digits than its factorization.

54585118120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214306 (or 214302 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 40.

The spelling of 54585118120 in words is "fifty-four billion, five hundred eighty-five million, one hundred eighteen thousand, one hundred twenty".