9657041089536 has 264 divisors, whose sum is σ = 28718267610240. Its totient is φ = 3123249463296.

The previous prime is 9657041089459. The next prime is 9657041089547. The reversal of 9657041089536 is 6359801407569.

9657041089536 is a `hidden beast` number, since 9 + 6 + 5 + 7 + 0 + 4 + 10 + 89 + 536 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122376685 + ... + 122455571.

Almost surely, 2^{9657041089536} is an apocalyptic number.

9657041089536 is a gapful number since it is divisible by the number (96) 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 9657041089536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14359133805120).

9657041089536 is an abundant number, since it is smaller than the sum of its proper divisors (19061226520704).

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

9657041089536 is a wasteful number, since it uses less digits than its factorization.

9657041089536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79309 (or 79288 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 9657041089536 in words is "nine trillion, six hundred fifty-seven billion, forty-one million, eighty-nine thousand, five hundred thirty-six".