50548488064800 has 1728 divisors, whose sum is σ = 196356605372928. Its totient is φ = 11192647680000.

The previous prime is 50548488064793. The next prime is 50548488064801. The reversal of 50548488064800 is 846088484505.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (50548488064801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 88526248515 + ... + 88526249085.

It is an arithmetic number, because the mean of its divisors is an integer number (113632294776).

Almost surely, 2^{50548488064800} is an apocalyptic number.

50548488064800 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 50548488064800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98178302686464).

50548488064800 is an abundant number, since it is smaller than the sum of its proper divisors (145808117308128).

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

50548488064800 is a wasteful number, since it uses less digits than its factorization.

50548488064800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 39321600, while the sum is 60.

The spelling of 50548488064800 in words is "fifty trillion, five hundred forty-eight billion, four hundred eighty-eight million, sixty-four thousand, eight hundred".