9008958663120 has 320 divisors, whose sum is σ = 30569265941760. Its totient is φ = 2181454381056.

The previous prime is 9008958663097. The next prime is 9008958663121. The reversal of 9008958663120 is 213668598009.

9008958663120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9008958663120² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9008958663121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60263026 + ... + 60412334.

It is an arithmetic number, because the mean of its divisors is an integer number (95528956068).

Almost surely, 2^{9008958663120} 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 9008958663120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15284632970880).

9008958663120 is an abundant number, since it is smaller than the sum of its proper divisors (21560307278640).

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

9008958663120 is a wasteful number, since it uses less digits than its factorization.

9008958663120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149654 (or 149648 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 57.

The spelling of 9008958663120 in words is "nine trillion, eight billion, nine hundred fifty-eight million, six hundred sixty-three thousand, one hundred twenty".