54320217728 has 192 divisors, whose sum is σ = 130438252800. Its totient is φ = 22443724800.

The previous prime is 54320217709. The next prime is 54320217767. The reversal of 54320217728 is 82771202345.

54320217728 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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95465828 + ... + 95466396.

It is an arithmetic number, because the mean of its divisors is an integer number (679365900).

Almost surely, 2^54320217728 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 54320217728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65219126400).

54320217728 is an abundant number, since it is smaller than the sum of its proper divisors (76118035072).

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

54320217728 is a wasteful number, since it uses less digits than its factorization.

54320217728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 41.

The spelling of 54320217728 in words is "fifty-four billion, three hundred twenty million, two hundred seventeen thousand, seven hundred twenty-eight".