2166028128000 has 2016 divisors, whose sum is σ = 9234342254592. Its totient is φ = 500898816000.

The previous prime is 2166028127911. The next prime is 2166028128001. The reversal of 2166028128000 is 8218206612.

2166028128000 is a `hidden beast` number, since 21 + 6 + 602 + 8 + 1 + 28 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2166028128001) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 5901983817 + ... + 5901984183.

It is an arithmetic number, because the mean of its divisors is an integer number (4580526912).

Almost surely, 2^{2166028128000} is an apocalyptic number.

2166028128000 is a gapful number since it is divisible by the number (20) 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 2166028128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4617171127296).

2166028128000 is an abundant number, since it is smaller than the sum of its proper divisors (7068314126592).

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

2166028128000 is an equidigital number, since it uses as much as digits as its factorization.

2166028128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 2166028128000 in words is "two trillion, one hundred sixty-six billion, twenty-eight million, one hundred twenty-eight thousand".