54141484320 has 1536 divisors, whose sum is σ = 250195599360. Its totient is φ = 10610196480.

The previous prime is 54141484303. The next prime is 54141484487. The reversal of 54141484320 is 2348414145.

54141484320 is a `hidden beast` number, since 5 + 4 + 141 + 484 + 32 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 652306999 + ... + 652307081.

It is an arithmetic number, because the mean of its divisors is an integer number (162887760).

Almost surely, 2^54141484320 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 54141484320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125097799680).

54141484320 is an abundant number, since it is smaller than the sum of its proper divisors (196054115040).

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

54141484320 is a wasteful number, since it uses less digits than its factorization.

54141484320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 54141484320 its reverse (2348414145), we get a palindrome (56489898465).

The spelling of 54141484320 in words is "fifty-four billion, one hundred forty-one million, four hundred eighty-four thousand, three hundred twenty".