8552044800 has 864 divisors, whose sum is σ = 34916098560. Its totient is φ = 2060328960.

The previous prime is 8552044777. The next prime is 8552044801. The reversal of 8552044800 is 84402558.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×8552044800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8552044801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 181958377 + ... + 181958423.

Almost surely, 2^8552044800 is an apocalyptic number.

8552044800 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 8552044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17458049280).

8552044800 is an abundant number, since it is smaller than the sum of its proper divisors (26364053760).

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

8552044800 is an equidigital number, since it uses as much as digits as its factorization.

8552044800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 8552044800 is about 92477.2663955850. The cubic root of 8552044800 is about 2044.9843515600.

The spelling of 8552044800 in words is "eight billion, five hundred fifty-two million, forty-four thousand, eight hundred".