1688125120000 has 200 divisors, whose sum is σ = 4598019281592. Its totient is φ = 613862400000.

The previous prime is 1688125119997. The next prime is 1688125120001. The reversal of 1688125120000 is 215218861.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1688125120001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3280210 + ... + 3759790.

Almost surely, 2^{1688125120000} is an apocalyptic number.

1688125120000 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 1688125120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2299009640796).

1688125120000 is an abundant number, since it is smaller than the sum of its proper divisors (2909894161592).

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

1688125120000 is an frugal number, since it uses more digits than its factorization.

1688125120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479630 (or 479599 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 34.

The spelling of 1688125120000 in words is "one trillion, six hundred eighty-eight billion, one hundred twenty-five million, one hundred twenty thousand".