9895991040 has 864 divisors, whose sum is σ = 40980401280. Its totient is φ = 2192965632.

The previous prime is 9895990997. The next prime is 9895991041. The reversal of 9895991040 is 401995989.

9895991040 is a `hidden beast` number, since 9 + 8 + 9 + 599 + 1 + 0 + 40 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9895991041) 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, 430260469 + ... + 430260491.

It is an arithmetic number, because the mean of its divisors is an integer number (47431020).

Almost surely, 2^9895991040 is an apocalyptic number.

9895991040 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 9895991040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20490200640).

9895991040 is an abundant number, since it is smaller than the sum of its proper divisors (31084410240).

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

9895991040 is a wasteful number, since it uses less digits than its factorization.

9895991040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 54.

The square root of 9895991040 is about 99478.5958887639. The cubic root of 9895991040 is about 2146.9392929901.

The spelling of 9895991040 in words is "nine billion, eight hundred ninety-five million, nine hundred ninety-one thousand, forty".