9855017238528 has 2880 divisors, whose sum is σ = 40890598834176. Its totient is φ = 2293235712000.

The previous prime is 9855017238463. The next prime is 9855017238541. The reversal of 9855017238528 is 8258327105589.

9855017238528 is a `hidden beast` number, since 9 + 8 + 5 + 5 + 0 + 1 + 72 + 38 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 161557659618 + ... + 161557659678.

Almost surely, 2^{9855017238528} 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 9855017238528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20445299417088).

9855017238528 is an abundant number, since it is smaller than the sum of its proper divisors (31035581595648).

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

9855017238528 is a wasteful number, since it uses less digits than its factorization.

9855017238528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 48384000, while the sum is 63.

The spelling of 9855017238528 in words is "nine trillion, eight hundred fifty-five billion, seventeen million, two hundred thirty-eight thousand, five hundred twenty-eight".