9855784673280 has 3024 divisors, whose sum is σ = 46031219423280. Its totient is φ = 1928101625856.

The previous prime is 9855784673243. The next prime is 9855784673311. The reversal of 9855784673280 is 823764875589.

9855784673280 is a `hidden beast` number, since 9 + 8 + 5 + 57 + 8 + 467 + 32 + 80 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 9855784673199 and 9855784673208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 209697546217 + ... + 209697546263.

It is an arithmetic number, because the mean of its divisors is an integer number (15221964095).

Almost surely, 2^{9855784673280} is an apocalyptic number.

9855784673280 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 9855784673280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23015609711640).

9855784673280 is an abundant number, since it is smaller than the sum of its proper divisors (36175434750000).

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

9855784673280 is a wasteful number, since it uses less digits than its factorization.

9855784673280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 812851200, while the sum is 72.

The spelling of 9855784673280 in words is "nine trillion, eight hundred fifty-five billion, seven hundred eighty-four million, six hundred seventy-three thousand, two hundred eighty".