8871827328000 has 1056 divisors, whose sum is σ = 39348497784960. Its totient is φ = 1871835955200.

The previous prime is 8871827327953. The next prime is 8871827328029. The reversal of 8871827328000 is 8237281788.

8871827328000 is a `hidden beast` number, since 8 + 87 + 18 + 273 + 280 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104789686 + ... + 104874314.

Almost surely, 2^{8871827328000} is an apocalyptic number.

8871827328000 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 8871827328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19674248892480).

8871827328000 is an abundant number, since it is smaller than the sum of its proper divisors (30476670456960).

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

8871827328000 is a wasteful number, since it uses less digits than its factorization.

8871827328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84690 (or 84659 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 8871827328000 in words is "eight trillion, eight hundred seventy-one billion, eight hundred twenty-seven million, three hundred twenty-eight thousand".