168688128000 has 832 divisors, whose sum is σ = 664862814720. Its totient is φ = 37158912000.

The previous prime is 168688127981. The next prime is 168688128001. The reversal of 168688128000 is 821886861.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (168688128001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 311807730 + ... + 311808270.

It is an arithmetic number, because the mean of its divisors is an integer number (799113960).

Almost surely, 2^168688128000 is an apocalyptic number.

168688128000 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 168688128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332431407360).

168688128000 is an abundant number, since it is smaller than the sum of its proper divisors (496174686720).

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

168688128000 is an equidigital number, since it uses as much as digits as its factorization.

168688128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 48.

The spelling of 168688128000 in words is "one hundred sixty-eight billion, six hundred eighty-eight million, one hundred twenty-eight thousand".