8955860528160 has 2592 divisors, whose sum is σ = 40608787302720. Its totient is φ = 1849378148352.

The previous prime is 8955860528149. The next prime is 8955860528171. The reversal of 8955860528160 is 618250685598.

8955860528160 is a `hidden beast` number, since 8 + 9 + 5 + 5 + 8 + 605 + 2 + 8 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8955860528149) and next prime (8955860528171).

It is a tau number, because it is divible by the number of its divisors (2592).

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

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 39453129967 + ... + 39453130193.

It is an arithmetic number, because the mean of its divisors is an integer number (15666970410).

Almost surely, 2^{8955860528160} is an apocalyptic number.

8955860528160 is a gapful number since it is divisible by the number (80) 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 8955860528160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20304393651360).

8955860528160 is an abundant number, since it is smaller than the sum of its proper divisors (31652926774560).

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

8955860528160 is a wasteful number, since it uses less digits than its factorization.

8955860528160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 41472000, while the sum is 63.

The spelling of 8955860528160 in words is "eight trillion, nine hundred fifty-five billion, eight hundred sixty million, five hundred twenty-eight thousand, one hundred sixty".