9855619600 has 240 divisors, whose sum is σ = 25595504640. Its totient is φ = 3638131200.

The previous prime is 9855619591. The next prime is 9855619601. The reversal of 9855619600 is 69165589.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (9855619601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36367465 + ... + 36367735.

It is an arithmetic number, because the mean of its divisors is an integer number (106647936).

Almost surely, 2^9855619600 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 9855619600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12797752320).

9855619600 is an abundant number, since it is smaller than the sum of its proper divisors (15739885040).

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

9855619600 is a wasteful number, since it uses less digits than its factorization.

9855619600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 49.

The square root of 9855619600 is about 99275.4733053437. The cubic root of 9855619600 is about 2144.0157803565.

The spelling of 9855619600 in words is "nine billion, eight hundred fifty-five million, six hundred nineteen thousand, six hundred".