54582353280 has 1024 divisors, whose sum is σ = 240945868800. Its totient is φ = 11370627072.

The previous prime is 54582353261. The next prime is 54582353327. The reversal of 54582353280 is 8235328545.

54582353280 is a `hidden beast` number, since 5 + 4 + 582 + 35 + 32 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 161965272 + ... + 161965608.

It is an arithmetic number, because the mean of its divisors is an integer number (235298700).

Almost surely, 2^54582353280 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 54582353280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120472934400).

54582353280 is an abundant number, since it is smaller than the sum of its proper divisors (186363515520).

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

54582353280 is a wasteful number, since it uses less digits than its factorization.

54582353280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 54582353280 in words is "fifty-four billion, five hundred eighty-two million, three hundred fifty-three thousand, two hundred eighty".