9865826880 has 448 divisors, whose sum is σ = 39807172608. Its totient is φ = 2013880320.

The previous prime is 9865826879. The next prime is 9865826921. The reversal of 9865826880 is 886285689.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×9865826880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2706339 + ... + 2709981.

It is an arithmetic number, because the mean of its divisors is an integer number (88855296).

Almost surely, 2^9865826880 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 9865826880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19903586304).

9865826880 is an abundant number, since it is smaller than the sum of its proper divisors (29941345728).

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

9865826880 is a wasteful number, since it uses less digits than its factorization.

9865826880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3714 (or 3704 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 60.

The square root of 9865826880 is about 99326.8688724255. The cubic root of 9865826880 is about 2144.7556972594.

The spelling of 9865826880 in words is "nine billion, eight hundred sixty-five million, eight hundred twenty-six thousand, eight hundred eighty".