9089017116480 has 1344 divisors, whose sum is σ = 38179023667200. Its totient is φ = 1938533990400.

The previous prime is 9089017116469. The next prime is 9089017116493. The reversal of 9089017116480 is 846117109809.

9089017116480 is a `hidden beast` number, since 9 + 0 + 8 + 90 + 1 + 71 + 1 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×9089017116480² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9246202069 + ... + 9246203051.

Almost surely, 2^{9089017116480} is an apocalyptic number.

9089017116480 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 9089017116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19089511833600).

9089017116480 is an abundant number, since it is smaller than the sum of its proper divisors (29090006550720).

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

9089017116480 is a wasteful number, since it uses less digits than its factorization.

9089017116480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The spelling of 9089017116480 in words is "nine trillion, eighty-nine billion, seventeen million, one hundred sixteen thousand, four hundred eighty".