2168128512 has 176 divisors, whose sum is σ = 7005652800. Its totient is φ = 656916480.

The previous prime is 2168128477. The next prime is 2168128531. The reversal of 2168128512 is 2158218612.

2168128512 is a `hidden beast` number, since 2 + 16 + 8 + 128 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300564 + ... + 307692.

Almost surely, 2^2168128512 is an apocalyptic number.

2168128512 is a gapful number since it is divisible by the number (22) 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 2168128512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3502826400).

2168128512 is an abundant number, since it is smaller than the sum of its proper divisors (4837524288).

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

2168128512 is a wasteful number, since it uses less digits than its factorization.

2168128512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7169 (or 7145 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 2168128512 is about 46563.1669026066. The cubic root of 2168128512 is about 1294.2802979593.

The spelling of 2168128512 in words is "two billion, one hundred sixty-eight million, one hundred twenty-eight thousand, five hundred twelve".