48736588800 has 264 divisors, whose sum is σ = 162196092000. Its totient is φ = 12906168320.

The previous prime is 48736588741. The next prime is 48736588867. The reversal of 48736588800 is 888563784.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11441071 + ... + 11445329.

Almost surely, 2^48736588800 is an apocalyptic number.

48736588800 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 48736588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81098046000).

48736588800 is an abundant number, since it is smaller than the sum of its proper divisors (113459503200).

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

48736588800 is a wasteful number, since it uses less digits than its factorization.

48736588800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4441 (or 4418 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 57.

The spelling of 48736588800 in words is "forty-eight billion, seven hundred thirty-six million, five hundred eighty-eight thousand, eight hundred".