48718108800 has 384 divisors, whose sum is σ = 181675872000. Its totient is φ = 12745175040.

The previous prime is 48718108723. The next prime is 48718108811. The reversal of 48718108800 is 880181784.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 4573881 + ... + 4584519.

It is an arithmetic number, because the mean of its divisors is an integer number (473114250).

Almost surely, 2^48718108800 is an apocalyptic number.

48718108800 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 48718108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90837936000).

48718108800 is an abundant number, since it is smaller than the sum of its proper divisors (132957763200).

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

48718108800 is a wasteful number, since it uses less digits than its factorization.

48718108800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10725 (or 10702 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 45.

The spelling of 48718108800 in words is "forty-eight billion, seven hundred eighteen million, one hundred eight thousand, eight hundred".