168305506560 has 720 divisors, whose sum is σ = 633727188864. Its totient is φ = 42568187904.

The previous prime is 168305506549. The next prime is 168305506591. The reversal of 168305506560 is 65605503861.

168305506560 is a `hidden beast` number, since 1 + 6 + 8 + 30 + 5 + 50 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 388696104 + ... + 388696536.

Almost surely, 2^168305506560 is an apocalyptic number.

168305506560 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 168305506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316863594432).

168305506560 is an abundant number, since it is smaller than the sum of its proper divisors (465421682304).

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

168305506560 is a wasteful number, since it uses less digits than its factorization.

168305506560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 168305506560 in words is "one hundred sixty-eight billion, three hundred five million, five hundred six thousand, five hundred sixty".