9908560965240 has 384 divisors, whose sum is σ = 37173351720960. Its totient is φ = 2242127665152.

The previous prime is 9908560965229. The next prime is 9908560965241. The reversal of 9908560965240 is 425690658099.

9908560965240 is a `hidden beast` number, since 9 + 9 + 0 + 8 + 560 + 9 + 65 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9908560965241) 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, 126663979 + ... + 126742181.

It is an arithmetic number, because the mean of its divisors is an integer number (96805603440).

Almost surely, 2^{9908560965240} is an apocalyptic number.

9908560965240 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 9908560965240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18586675860480).

9908560965240 is an abundant number, since it is smaller than the sum of its proper divisors (27264790755720).

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

9908560965240 is a wasteful number, since it uses less digits than its factorization.

9908560965240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78731 (or 78724 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 9908560965240 in words is "nine trillion, nine hundred eight billion, five hundred sixty million, nine hundred sixty-five thousand, two hundred forty".