54389956320 has 576 divisors, whose sum is σ = 230512988160. Its totient is φ = 11396505600.

The previous prime is 54389956297. The next prime is 54389956367. The reversal of 54389956320 is 2365998345.

54389956320 is a `hidden beast` number, since 54 + 3 + 8 + 9 + 9 + 563 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5932540 + ... + 5941700.

It is an arithmetic number, because the mean of its divisors is an integer number (400196160).

Almost surely, 2^54389956320 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 54389956320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115256494080).

54389956320 is an abundant number, since it is smaller than the sum of its proper divisors (176123031840).

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

54389956320 is a wasteful number, since it uses less digits than its factorization.

54389956320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9239 (or 9228 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 54389956320 in words is "fifty-four billion, three hundred eighty-nine million, nine hundred fifty-six thousand, three hundred twenty".