9025576560 has 720 divisors, whose sum is σ = 41447034720. Its totient is φ = 1730211840.

The previous prime is 9025576543. The next prime is 9025576583. The reversal of 9025576560 is 656755209.

9025576560 is a `hidden beast` number, since 9 + 0 + 25 + 576 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×9025576560² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 5044146 + ... + 5045934.

It is an arithmetic number, because the mean of its divisors is an integer number (57565326).

Almost surely, 2^9025576560 is an apocalyptic number.

9025576560 is a gapful number since it is divisible by the number (90) 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 9025576560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20723517360).

9025576560 is an abundant number, since it is smaller than the sum of its proper divisors (32421458160).

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

9025576560 is a wasteful number, since it uses less digits than its factorization.

9025576560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The square root of 9025576560 is about 95003.0344778523. The cubic root of 9025576560 is about 2082.0523812560.

It can be divided in two parts, 9025 and 576560, that added together give a palindrome (585585).

The spelling of 9025576560 in words is "nine billion, twenty-five million, five hundred seventy-six thousand, five hundred sixty".