8848000088800 has 288 divisors, whose sum is σ = 23205352262400. Its totient is φ = 3284273664000.

The previous prime is 8848000088687. The next prime is 8848000088813. The reversal of 8848000088800 is 88800008488.

It is a super-3 number, since 3×8848000088800³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

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, 251983245 + ... + 252018355.

It is an arithmetic number, because the mean of its divisors is an integer number (80574139800).

Almost surely, 2^{8848000088800} is an apocalyptic number.

8848000088800 is a gapful number since it is divisible by the number (80) 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 8848000088800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11602676131200).

8848000088800 is an abundant number, since it is smaller than the sum of its proper divisors (14357352173600).

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

8848000088800 is a wasteful number, since it uses less digits than its factorization.

8848000088800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35490 (or 35477 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 52.

The spelling of 8848000088800 in words is "eight trillion, eight hundred forty-eight billion, eighty-eight thousand, eight hundred".