9160128000 has 960 divisors, whose sum is σ = 37177620480. Its totient is φ = 2239488000.

The previous prime is 9160127987. The next prime is 9160128001. The reversal of 9160128000 is 8210619.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9160128001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 295487985 + ... + 295488015.

It is an arithmetic number, because the mean of its divisors is an integer number (38726688).

Almost surely, 2^9160128000 is an apocalyptic number.

9160128000 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 9160128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18588810240).

9160128000 is an abundant number, since it is smaller than the sum of its proper divisors (28017492480).

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

9160128000 is an equidigital number, since it uses as much as digits as its factorization.

9160128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 9160128000 is about 95708.5576111144. The cubic root of 9160128000 is about 2092.3476591603.

Adding to 9160128000 its reverse (8210619), we get a palindrome (9168338619).

The spelling of 9160128000 in words is "nine billion, one hundred sixty million, one hundred twenty-eight thousand".