54586441728 has 680 divisors, whose sum is σ = 202495257888. Its totient is φ = 14269022208.

The previous prime is 54586441681. The next prime is 54586441753. The reversal of 54586441728 is 82714468545.

54586441728 is a `hidden beast` number, since 5 + 4 + 586 + 44 + 17 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 483065800 + ... + 483065912.

Almost surely, 2^54586441728 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 54586441728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101247628944).

54586441728 is an abundant number, since it is smaller than the sum of its proper divisors (147908816160).

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

54586441728 is an equidigital number, since it uses as much as digits as its factorization.

54586441728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 138 counting only the distinct ones).

The product of its digits is 8601600, while the sum is 54.

The spelling of 54586441728 in words is "fifty-four billion, five hundred eighty-six million, four hundred forty-one thousand, seven hundred twenty-eight".