9053617098240 has 960 divisors, whose sum is σ = 37032341778432. Its totient is φ = 2015236915200.

The previous prime is 9053617098209. The next prime is 9053617098257. The reversal of 9053617098240 is 428907163509.

9053617098240 is a `hidden beast` number, since 9 + 0 + 536 + 17 + 0 + 98 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×9053617098240² (a number of 27 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 629284327 + ... + 629298713.

It is a 1-persistent number, because it is pandigital, but 2⋅9053617098240 = 18107234196480 is not.

Almost surely, 2^{9053617098240} is an apocalyptic number.

9053617098240 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 9053617098240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18516170889216).

9053617098240 is an abundant number, since it is smaller than the sum of its proper divisors (27978724680192).

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

9053617098240 is a wasteful number, since it uses less digits than its factorization.

9053617098240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14631 (or 14612 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 9053617098240 in words is "nine trillion, fifty-three billion, six hundred seventeen million, ninety-eight thousand, two hundred forty".