2166591568320 has 448 divisors, whose sum is σ = 7915426790400. Its totient is φ = 557227560960.

The previous prime is 2166591568313. The next prime is 2166591568403. The reversal of 2166591568320 is 238651956612.

2166591568320 is a `hidden beast` number, since 2 + 1 + 6 + 6 + 59 + 1 + 568 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 258323167 + ... + 258331553.

Almost surely, 2^{2166591568320} is an apocalyptic number.

2166591568320 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 2166591568320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3957713395200).

2166591568320 is an abundant number, since it is smaller than the sum of its proper divisors (5748835222080).

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

2166591568320 is a wasteful number, since it uses less digits than its factorization.

2166591568320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9473 (or 9457 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 2166591568320 in words is "two trillion, one hundred sixty-six billion, five hundred ninety-one million, five hundred sixty-eight thousand, three hundred twenty".