8856556800 has 864 divisors, whose sum is σ = 37215451392. Its totient is φ = 1804861440.

The previous prime is 8856556799. The next prime is 8856556831. The reversal of 8856556800 is 86556588.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64646332 + ... + 64646468.

Almost surely, 2^8856556800 is an apocalyptic number.

8856556800 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 8856556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18607725696).

8856556800 is an abundant number, since it is smaller than the sum of its proper divisors (28358894592).

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

8856556800 is a wasteful number, since it uses less digits than its factorization.

8856556800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 51.

The square root of 8856556800 is about 94109.2811575989. The cubic root of 8856556800 is about 2068.9737030174.

The spelling of 8856556800 in words is "eight billion, eight hundred fifty-six million, five hundred fifty-six thousand, eight hundred".