8225585280 has 384 divisors, whose sum is σ = 31190702400. Its totient is φ = 1980948480.

The previous prime is 8225585273. The next prime is 8225585327. The reversal of 8225585280 is 825855228.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 12481591 + ... + 12482249.

Almost surely, 2^8225585280 is an apocalyptic number.

8225585280 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 8225585280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15595351200).

8225585280 is an abundant number, since it is smaller than the sum of its proper divisors (22965117120).

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

8225585280 is a wasteful number, since it uses less digits than its factorization.

8225585280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 45.

The square root of 8225585280 is about 90695.0124317760. The cubic root of 8225585280 is about 2018.6247934820.

It can be divided in two parts, 8225 and 585280, that added together give a triangular number (593505 = T₁₀₈₉).

The spelling of 8225585280 in words is "eight billion, two hundred twenty-five million, five hundred eighty-five thousand, two hundred eighty".