54036220141728 has 288 divisors, whose sum is σ = 171263945728512. Its totient is φ = 16023382848000.

The previous prime is 54036220141703. The next prime is 54036220141793. The reversal of 54036220141728 is 82714102263045.

54036220141728 is a `hidden beast` number, since 5 + 4 + 0 + 3 + 6 + 2 + 201 + 417 + 28 = 666.

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

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, 31207675 + ... + 32893637.

It is an arithmetic number, because the mean of its divisors is an integer number (594666478224).

Almost surely, 2^{54036220141728} 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 54036220141728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85631972864256).

54036220141728 is an abundant number, since it is smaller than the sum of its proper divisors (117227725586784).

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

54036220141728 is a wasteful number, since it uses less digits than its factorization.

54036220141728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686208 (or 1686197 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 54036220141728 in words is "fifty-four trillion, thirty-six billion, two hundred twenty million, one hundred forty-one thousand, seven hundred twenty-eight".