1688222652480 has 504 divisors, whose sum is σ = 7274438727192. Its totient is φ = 356196040704.

The previous prime is 1688222652461. The next prime is 1688222652491. The reversal of 1688222652480 is 842562228861.

1688222652480 is a `hidden beast` number, since 1 + 6 + 8 + 82 + 22 + 65 + 2 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 114141271104 + 1574081381376 = 337848^2 + 1254624^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1374444 + ... + 2294676.

It is an arithmetic number, because the mean of its divisors is an integer number (14433410173).

Almost surely, 2^{1688222652480} is an apocalyptic number.

1688222652480 is a gapful number since it is divisible by the number (10) 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 1688222652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3637219363596).

1688222652480 is an abundant number, since it is smaller than the sum of its proper divisors (5586216074712).

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

1688222652480 is a wasteful number, since it uses less digits than its factorization.

1688222652480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920283 (or 920263 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 1688222652480 in words is "one trillion, six hundred eighty-eight billion, two hundred twenty-two million, six hundred fifty-two thousand, four hundred eighty".