4808920102800 has 240 divisors, whose sum is σ = 16807283878080. Its totient is φ = 1165639680000.

The previous prime is 4808920102781. The next prime is 4808920102823. The reversal of 4808920102800 is 82010298084.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×4808920102800³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117842400 + ... + 117883200.

It is an arithmetic number, because the mean of its divisors is an integer number (70030349492).

Almost surely, 2^{4808920102800} is an apocalyptic number.

4808920102800 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 4808920102800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8403641939040).

4808920102800 is an abundant number, since it is smaller than the sum of its proper divisors (11998363775280).

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

4808920102800 is a wasteful number, since it uses less digits than its factorization.

4808920102800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49762 (or 49751 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The spelling of 4808920102800 in words is "four trillion, eight hundred eight billion, nine hundred twenty million, one hundred two thousand, eight hundred".