168563863226880 has 3200 divisors, whose sum is σ = 708426943488000. Its totient is φ = 37900285378560.

The previous prime is 168563863226861. The next prime is 168563863226921. The reversal of 168563863226880 is 88622368365861.

168563863226880 is a `hidden beast` number, since 1 + 6 + 8 + 563 + 8 + 6 + 32 + 26 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 168563863226799 and 168563863226808.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 337803332871 + ... + 337803333369.

It is an arithmetic number, because the mean of its divisors is an integer number (221383419840).

Almost surely, 2^{168563863226880} is an apocalyptic number.

168563863226880 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 168563863226880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354213471744000).

168563863226880 is an abundant number, since it is smaller than the sum of its proper divisors (539863080261120).

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

168563863226880 is a wasteful number, since it uses less digits than its factorization.

168563863226880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 955514880, while the sum is 72.

The spelling of 168563863226880 in words is "one hundred sixty-eight trillion, five hundred sixty-three billion, eight hundred sixty-three million, two hundred twenty-six thousand, eight hundred eighty".