8855138400 has 288 divisors, whose sum is σ = 30463050240. Its totient is φ = 2230609920.

The previous prime is 8855138387. The next prime is 8855138407. The reversal of 8855138400 is 48315588.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8855138407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3269847 + ... + 3272553.

It is an arithmetic number, because the mean of its divisors is an integer number (105774480).

Almost surely, 2^8855138400 is an apocalyptic number.

8855138400 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 8855138400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15231525120).

8855138400 is an abundant number, since it is smaller than the sum of its proper divisors (21607911840).

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

8855138400 is a wasteful number, since it uses less digits than its factorization.

8855138400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2806 (or 2793 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 42.

The square root of 8855138400 is about 94101.7449360000. The cubic root of 8855138400 is about 2068.8632466612.

The spelling of 8855138400 in words is "eight billion, eight hundred fifty-five million, one hundred thirty-eight thousand, four hundred".