2168661238920 has 384 divisors, whose sum is σ = 7784779242240. Its totient is φ = 519202897920.

The previous prime is 2168661238901. The next prime is 2168661238949. The reversal of 2168661238920 is 298321668612.

2168661238920 is a `hidden beast` number, since 2 + 16 + 8 + 6 + 612 + 3 + 8 + 9 + 2 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 187060644 + ... + 187072236.

It is an arithmetic number, because the mean of its divisors is an integer number (20272862610).

Almost surely, 2^{2168661238920} is an apocalyptic number.

2168661238920 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 2168661238920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3892389621120).

2168661238920 is an abundant number, since it is smaller than the sum of its proper divisors (5616118003320).

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

2168661238920 is a wasteful number, since it uses less digits than its factorization.

2168661238920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12205 (or 12198 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 2168661238920 in words is "two trillion, one hundred sixty-eight billion, six hundred sixty-one million, two hundred thirty-eight thousand, nine hundred twenty".