8871158400 has 384 divisors, whose sum is σ = 32496253440. Its totient is φ = 2112307200.

The previous prime is 8871158389. The next prime is 8871158419. The reversal of 8871158400 is 48511788.

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

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, 3867654 + ... + 3869946.

It is an arithmetic number, because the mean of its divisors is an integer number (84625660).

Almost surely, 2^8871158400 is an apocalyptic number.

8871158400 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 8871158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16248126720).

8871158400 is an abundant number, since it is smaller than the sum of its proper divisors (23625095040).

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

8871158400 is a wasteful number, since it uses less digits than its factorization.

8871158400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364 (or 2347 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 42.

The square root of 8871158400 is about 94186.8271044311. The cubic root of 8871158400 is about 2070.1101017308.

The spelling of 8871158400 in words is "eight billion, eight hundred seventy-one million, one hundred fifty-eight thousand, four hundred".