168160354560 has 1152 divisors, whose sum is σ = 679657144320. Its totient is φ = 39504568320.

The previous prime is 168160354553. The next prime is 168160354561. The reversal of 168160354560 is 65453061861.

168160354560 is a `hidden beast` number, since 1 + 6 + 8 + 160 + 35 + 456 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (168160354561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1324097217 + ... + 1324097343.

It is an arithmetic number, because the mean of its divisors is an integer number (589980160).

Almost surely, 2^168160354560 is an apocalyptic number.

168160354560 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 168160354560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339828572160).

168160354560 is an abundant number, since it is smaller than the sum of its proper divisors (511496789760).

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

168160354560 is an equidigital number, since it uses as much as digits as its factorization.

168160354560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 168160354560 in words is "one hundred sixty-eight billion, one hundred sixty million, three hundred fifty-four thousand, five hundred sixty".