168563863658880 has 1024 divisors, whose sum is σ = 620762175360000. Its totient is φ = 43177615294464.

The previous prime is 168563863658759. The next prime is 168563863658921. The reversal of 168563863658880 is 88856368365861.

168563863658880 is a `hidden beast` number, since 1 + 6 + 8 + 56 + 386 + 36 + 5 + 88 + 80 = 666.

It is a super-2 number, since 2×168563863658880² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 168563863658880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 99330502192 + ... + 99330503888.

It is an arithmetic number, because the mean of its divisors is an integer number (606213061875).

Almost surely, 2^{168563863658880} is an apocalyptic number.

168563863658880 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 168563863658880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310381087680000).

168563863658880 is an abundant number, since it is smaller than the sum of its proper divisors (452198311701120).

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

168563863658880 is a wasteful number, since it uses less digits than its factorization.

168563863658880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2656 (or 2638 counting only the distinct ones).

The product of its (nonzero) digits is 9555148800, while the sum is 81.

The spelling of 168563863658880 in words is "one hundred sixty-eight trillion, five hundred sixty-three billion, eight hundred sixty-three million, six hundred fifty-eight thousand, eight hundred eighty".