9861965568 has 288 divisors, whose sum is σ = 35895910400. Its totient is φ = 2600792064.

The previous prime is 9861965543. The next prime is 9861965573. The reversal of 9861965568 is 8655691689.

9861965568 is a `hidden beast` number, since 9 + 8 + 6 + 1 + 9 + 65 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 621153 + ... + 636831.

Almost surely, 2^9861965568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9861965568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17947955200).

9861965568 is an abundant number, since it is smaller than the sum of its proper divisors (26033944832).

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

9861965568 is a wasteful number, since it uses less digits than its factorization.

9861965568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15724 (or 15704 counting only the distinct ones).

The product of its digits is 27993600, while the sum is 63.

The square root of 9861965568 is about 99307.4295710044. The cubic root of 9861965568 is about 2144.4758541313.

The spelling of 9861965568 in words is "nine billion, eight hundred sixty-one million, nine hundred sixty-five thousand, five hundred sixty-eight".