2168321218560 has 1440 divisors, whose sum is σ = 9337884716160. Its totient is φ = 479349964800.

The previous prime is 2168321218499. The next prime is 2168321218571. The reversal of 2168321218560 is 658121238612.

2168321218560 is a `hidden beast` number, since 2 + 1 + 6 + 83 + 2 + 1 + 2 + 1 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1259918500 + ... + 1259920220.

It is an arithmetic number, because the mean of its divisors is an integer number (6484642164).

Almost surely, 2^{2168321218560} is an apocalyptic number.

2168321218560 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 2168321218560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4668942358080).

2168321218560 is an abundant number, since it is smaller than the sum of its proper divisors (7169563497600).

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

2168321218560 is a wasteful number, since it uses less digits than its factorization.

2168321218560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 2168321218560 in words is "two trillion, one hundred sixty-eight billion, three hundred twenty-one million, two hundred eighteen thousand, five hundred sixty".