168789141360 has 960 divisors, whose sum is σ = 707154739200. Its totient is φ = 36582036480.

The previous prime is 168789141329. The next prime is 168789141371. The reversal of 168789141360 is 63141987861.

168789141360 is a `hidden beast` number, since 1 + 6 + 87 + 8 + 91 + 413 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 168789141297 and 168789141306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 622838025 + ... + 622838295.

It is an arithmetic number, because the mean of its divisors is an integer number (736619520).

Almost surely, 2^168789141360 is an apocalyptic number.

168789141360 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 168789141360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353577369600).

168789141360 is an abundant number, since it is smaller than the sum of its proper divisors (538365597840).

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

168789141360 is a wasteful number, since it uses less digits than its factorization.

168789141360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 168789141360 in words is "one hundred sixty-eight billion, seven hundred eighty-nine million, one hundred forty-one thousand, three hundred sixty".