2166232155120 has 320 divisors, whose sum is σ = 8220382433280. Its totient is φ = 519947136000.

The previous prime is 2166232155107. The next prime is 2166232155121. The reversal of 2166232155120 is 215512326612.

2166232155120 is a `hidden beast` number, since 2 + 1 + 6 + 62 + 3 + 21 + 551 + 20 = 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 (2166232155121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1948417 + ... + 2851103.

It is an arithmetic number, because the mean of its divisors is an integer number (25688695104).

Almost surely, 2^{2166232155120} is an apocalyptic number.

2166232155120 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 2166232155120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4110191216640).

2166232155120 is an abundant number, since it is smaller than the sum of its proper divisors (6054150278160).

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

2166232155120 is a wasteful number, since it uses less digits than its factorization.

2166232155120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902821 (or 902809 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 2166232155120 in words is "two trillion, one hundred sixty-six billion, two hundred thirty-two million, one hundred fifty-five thousand, one hundred twenty".