168021685117440 has 5120 divisors, whose sum is σ = 827935488737280. Its totient is φ = 31209664020480.

The previous prime is 168021685117381. The next prime is 168021685117453. The reversal of 168021685117440 is 44711586120861.

168021685117440 is a `hidden beast` number, since 1 + 6 + 8 + 0 + 2 + 1 + 6 + 85 + 117 + 440 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 547301905767 + ... + 547301906073.

It is an arithmetic number, because the mean of its divisors is an integer number (161706150144).

Almost surely, 2^{168021685117440} is an apocalyptic number.

168021685117440 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 168021685117440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413967744368640).

168021685117440 is an abundant number, since it is smaller than the sum of its proper divisors (659913803619840).

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

168021685117440 is a wasteful number, since it uses less digits than its factorization.

168021685117440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 168021685117440 in words is "one hundred sixty-eight trillion, twenty-one billion, six hundred eighty-five million, one hundred seventeen thousand, four hundred forty".