48096716800 has 576 divisors, whose sum is σ = 140391014400. Its totient is φ = 16166092800.

The previous prime is 48096716747. The next prime is 48096716813. The reversal of 48096716800 is 861769084.

It is a super-3 number, since 3×48096716800³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 608819161 + ... + 608819239.

It is an arithmetic number, because the mean of its divisors is an integer number (243734400).

Almost surely, 2^48096716800 is an apocalyptic number.

48096716800 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 48096716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70195507200).

48096716800 is an abundant number, since it is smaller than the sum of its proper divisors (92294297600).

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

48096716800 is a wasteful number, since it uses less digits than its factorization.

48096716800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

The spelling of 48096716800 in words is "forty-eight billion, ninety-six million, seven hundred sixteen thousand, eight hundred".