5662890219168 has 1728 divisors, whose sum is σ = 21594692351232. Its totient is φ = 1422164459520.

The previous prime is 5662890219163. The next prime is 5662890219169. The reversal of 5662890219168 is 8619120982665.

5662890219168 is a `hidden beast` number, since 566 + 2 + 8 + 9 + 0 + 2 + 1 + 9 + 1 + 68 = 666.

It is a super-2 number, since 2×5662890219168² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (5662890219163) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 50114072680 + ... + 50114072792.

It is an arithmetic number, because the mean of its divisors is an integer number (12496928444).

Almost surely, 2^{5662890219168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5662890219168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10797346175616).

5662890219168 is an abundant number, since it is smaller than the sum of its proper divisors (15931802132064).

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

5662890219168 is a wasteful number, since it uses less digits than its factorization.

5662890219168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 5662890219168 in words is "five trillion, six hundred sixty-two billion, eight hundred ninety million, two hundred nineteen thousand, one hundred sixty-eight".