1688696993160 has 256 divisors, whose sum is σ = 5645291673600. Its totient is φ = 449017261056.

The previous prime is 1688696993149. The next prime is 1688696993201. The reversal of 1688696993160 is 613996968861.

1688696993160 is a `hidden beast` number, since 1 + 68 + 86 + 96 + 99 + 316 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1046928514 + ... + 1046930126.

It is an arithmetic number, because the mean of its divisors is an integer number (22051920600).

Almost surely, 2^{1688696993160} is an apocalyptic number.

1688696993160 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 1688696993160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2822645836800).

1688696993160 is an abundant number, since it is smaller than the sum of its proper divisors (3956594680440).

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

1688696993160 is a wasteful number, since it uses less digits than its factorization.

1688696993160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3837 (or 3827 counting only the distinct ones).

The product of its (nonzero) digits is 181398528, while the sum is 72.

The spelling of 1688696993160 in words is "one trillion, six hundred eighty-eight billion, six hundred ninety-six million, nine hundred ninety-three thousand, one hundred sixty".