9000516980 has 288 divisors, whose sum is σ = 25236207360. Its totient is φ = 2672393472.

The previous prime is 9000516947. The next prime is 9000516983. The reversal of 9000516980 is 896150009.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9000516983) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87383609 + ... + 87383711.

It is an arithmetic number, because the mean of its divisors is an integer number (87625720).

Almost surely, 2^9000516980 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 9000516980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12618103680).

9000516980 is an abundant number, since it is smaller than the sum of its proper divisors (16235690380).

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

9000516980 is a wasteful number, since it uses less digits than its factorization.

9000516980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 38.

The square root of 9000516980 is about 94871.0544897652. The cubic root of 9000516980 is about 2080.1236505017.

Adding to 9000516980 its reverse (896150009), we get a palindrome (9896666989).

The spelling of 9000516980 in words is "nine billion, five hundred sixteen thousand, nine hundred eighty".