9855268920 has 256 divisors, whose sum is σ = 37918540800. Its totient is φ = 2230156800.

The previous prime is 9855268877. The next prime is 9855268949. The reversal of 9855268920 is 298625589.

9855268920 is a `hidden beast` number, since 9 + 8 + 552 + 6 + 89 + 2 + 0 = 666.

9855268920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 757107 + ... + 770013.

It is an arithmetic number, because the mean of its divisors is an integer number (148119300).

Almost surely, 2^9855268920 is an apocalyptic number.

9855268920 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 9855268920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18959270400).

9855268920 is an abundant number, since it is smaller than the sum of its proper divisors (28063271880).

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

9855268920 is a wasteful number, since it uses less digits than its factorization.

9855268920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13035 (or 13025 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The square root of 9855268920 is about 99273.7070930667. The cubic root of 9855268920 is about 2143.9903507910.

The spelling of 9855268920 in words is "nine billion, eight hundred fifty-five million, two hundred sixty-eight thousand, nine hundred twenty".