168405259680 has 1152 divisors, whose sum is σ = 742336358400. Its totient is φ = 35177877504.

The previous prime is 168405259679. The next prime is 168405259697. The reversal of 168405259680 is 86952504861.

168405259680 is a `hidden beast` number, since 1 + 6 + 8 + 40 + 5 + 2 + 596 + 8 + 0 = 666.

168405259680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 191 ways as a sum of consecutive naturals, for example, 149959599 + ... + 149960721.

It is an arithmetic number, because the mean of its divisors is an integer number (644389200).

Almost surely, 2^168405259680 is an apocalyptic number.

168405259680 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 168405259680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371168179200).

168405259680 is an abundant number, since it is smaller than the sum of its proper divisors (573931098720).

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

168405259680 is a wasteful number, since it uses less digits than its factorization.

168405259680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 168405259680 in words is "one hundred sixty-eight billion, four hundred five million, two hundred fifty-nine thousand, six hundred eighty".