54482609539200 has 384 divisors, whose sum is σ = 189510500551680. Its totient is φ = 13729574932480.

The previous prime is 54482609539157. The next prime is 54482609539229. The reversal of 54482609539200 is 293590628445.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 16839949 + ... + 19812851.

It is an arithmetic number, because the mean of its divisors is an integer number (493516928520).

Almost surely, 2^{54482609539200} is an apocalyptic number.

54482609539200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54482609539200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94755250275840).

54482609539200 is an abundant number, since it is smaller than the sum of its proper divisors (135027891012480).

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

54482609539200 is a wasteful number, since it uses less digits than its factorization.

54482609539200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2973036 (or 2973019 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 57.

The spelling of 54482609539200 in words is "fifty-four trillion, four hundred eighty-two billion, six hundred nine million, five hundred thirty-nine thousand, two hundred".