9056561280 has 512 divisors, whose sum is σ = 33209568000. Its totient is φ = 2093285376.

The previous prime is 9056561279. The next prime is 9056561281. The reversal of 9056561280 is 821656509.

It is an interprime number because it is at equal distance from previous prime (9056561279) and next prime (9056561281).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9056561281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80146504 + ... + 80146616.

Almost surely, 2^9056561280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9056561280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16604784000).

9056561280 is an abundant number, since it is smaller than the sum of its proper divisors (24153006720).

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

9056561280 is a wasteful number, since it uses less digits than its factorization.

9056561280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 9056561280 is about 95165.9670260330. The cubic root of 9056561280 is about 2084.4322154708.

The spelling of 9056561280 in words is "nine billion, fifty-six million, five hundred sixty-one thousand, two hundred eighty".