9859497984 has 304 divisors, whose sum is σ = 33554368000. Its totient is φ = 2802843648.

The previous prime is 9859497983. The next prime is 9859497997. The reversal of 9859497984 is 4897949589.

9859497984 is a `hidden beast` number, since 9 + 8 + 59 + 497 + 9 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9859497983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49545117 + ... + 49545315.

Almost surely, 2^9859497984 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 9859497984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16777184000).

9859497984 is an abundant number, since it is smaller than the sum of its proper divisors (23694870016).

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

9859497984 is an frugal number, since it uses more digits than its factorization.

9859497984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 211 counting only the distinct ones).

The product of its digits is 235146240, while the sum is 72.

The square root of 9859497984 is about 99295.0048290446. The cubic root of 9859497984 is about 2144.2969812120.

The spelling of 9859497984 in words is "nine billion, eight hundred fifty-nine million, four hundred ninety-seven thousand, nine hundred eighty-four".