168936559680 has 224 divisors, whose sum is σ = 623389639680. Its totient is φ = 37959505920.

The previous prime is 168936559667. The next prime is 168936559697. The reversal of 168936559680 is 86955639861.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×168936559680² (a number of 23 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 183435 + ... + 609525.

Almost surely, 2^168936559680 is an apocalyptic number.

168936559680 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 168936559680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311694819840).

168936559680 is an abundant number, since it is smaller than the sum of its proper divisors (454453080000).

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

168936559680 is a wasteful number, since it uses less digits than its factorization.

168936559680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426177 (or 426167 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 66.

The spelling of 168936559680 in words is "one hundred sixty-eight billion, nine hundred thirty-six million, five hundred fifty-nine thousand, six hundred eighty".