8855884800 has 1188 divisors, whose sum is σ = 40521101920. Its totient is φ = 1804861440.

The previous prime is 8855884733. The next prime is 8855884813. The reversal of 8855884800 is 84885588.

It is a happy number.

8855884800 is a `hidden beast` number, since 8 + 8 + 558 + 8 + 4 + 80 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 466099191 + ... + 466099209.

Almost surely, 2^8855884800 is an apocalyptic number.

8855884800 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 8855884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20260550960).

8855884800 is an abundant number, since it is smaller than the sum of its proper divisors (31665217120).

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

8855884800 is a wasteful number, since it uses less digits than its factorization.

8855884800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 3276800, while the sum is 54.

The square root of 8855884800 is about 94105.7107725137. The cubic root of 8855884800 is about 2068.9213732191.

The spelling of 8855884800 in words is "eight billion, eight hundred fifty-five million, eight hundred eighty-four thousand, eight hundred".