54544565521600 has 2016 divisors, whose sum is σ = 186464705495040. Its totient is φ = 15469138944000.

The previous prime is 54544565521571. The next prime is 54544565521669. The reversal of 54544565521600 is 612556544545.

54544565521600 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 84828250879 + ... + 84828251521.

It is an arithmetic number, because the mean of its divisors is an integer number (92492413440).

Almost surely, 2^{54544565521600} is an apocalyptic number.

54544565521600 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 54544565521600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93232352747520).

54544565521600 is an abundant number, since it is smaller than the sum of its proper divisors (131920139973440).

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

54544565521600 is a wasteful number, since it uses less digits than its factorization.

54544565521600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 14400000, while the sum is 52.

The spelling of 54544565521600 in words is "fifty-four trillion, five hundred forty-four billion, five hundred sixty-five million, five hundred twenty-one thousand, six hundred".