9855498240 has 288 divisors, whose sum is σ = 39039567840. Its totient is φ = 2252537856.

The previous prime is 9855498221. The next prime is 9855498253. The reversal of 9855498240 is 428945589.

It is a happy number.

9855498240 is a `hidden beast` number, since 9 + 8 + 554 + 9 + 82 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 637482 + ... + 652758.

It is an arithmetic number, because the mean of its divisors is an integer number (135554055).

Almost surely, 2^9855498240 is an apocalyptic number.

9855498240 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 9855498240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19519783920).

9855498240 is an abundant number, since it is smaller than the sum of its proper divisors (29184069600).

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

9855498240 is a wasteful number, since it uses less digits than its factorization.

9855498240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15317 (or 15294 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The square root of 9855498240 is about 99274.8620749483. The cubic root of 9855498240 is about 2144.0069800025.

The spelling of 9855498240 in words is "nine billion, eight hundred fifty-five million, four hundred ninety-eight thousand, two hundred forty".