48489805588800 has 504 divisors, whose sum is σ = 160549736096736. Its totient is φ = 12812638535680.

The previous prime is 48489805588799. The next prime is 48489805588853. The reversal of 48489805588800 is 888550898484.

It is a super-2 number, since 2×48489805588800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (75).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 82606142107 + ... + 82606142693.

It is an arithmetic number, because the mean of its divisors is an integer number (318551063684).

Almost surely, 2^{48489805588800} is an apocalyptic number.

48489805588800 is a gapful number since it is divisible by the number (40) 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 48489805588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80274868048368).

48489805588800 is an abundant number, since it is smaller than the sum of its proper divisors (112059930507936).

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

48489805588800 is a wasteful number, since it uses less digits than its factorization.

48489805588800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 943718400, while the sum is 75.

The spelling of 48489805588800 in words is "forty-eight trillion, four hundred eighty-nine billion, eight hundred five million, five hundred eighty-eight thousand, eight hundred".