54540061128 has 288 divisors, whose sum is σ = 178827012000. Its totient is φ = 15527490048.

The previous prime is 54540061123. The next prime is 54540061129. The reversal of 54540061128 is 82116004545.

It is a happy number.

54540061128 is a `hidden beast` number, since 54 + 540 + 0 + 61 + 1 + 2 + 8 = 666.

54540061128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 54540061092 and 54540061101.

It is not an unprimeable number, because it can be changed into a prime (54540061123) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32100423 + ... + 32102121.

It is an arithmetic number, because the mean of its divisors is an integer number (620927125).

Almost surely, 2^54540061128 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 54540061128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89413506000).

54540061128 is an abundant number, since it is smaller than the sum of its proper divisors (124286950872).

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

54540061128 is a wasteful number, since it uses less digits than its factorization.

54540061128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2071 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 54540061128 in words is "fifty-four billion, five hundred forty million, sixty-one thousand, one hundred twenty-eight".