360208008160 has 960 divisors, whose sum is σ = 1195318010880. Its totient is φ = 101091594240.

The previous prime is 360208008101. The next prime is 360208008163. The reversal of 360208008160 is 61800802063.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360208008163) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 4339855479 + ... + 4339855561.

It is an arithmetic number, because the mean of its divisors is an integer number (1245122928).

Almost surely, 2^360208008160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 360208008160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597659005440).

360208008160 is an abundant number, since it is smaller than the sum of its proper divisors (835110002720).

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

360208008160 is a wasteful number, since it uses less digits than its factorization.

360208008160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 360208008160 in words is "three hundred sixty billion, two hundred eight million, eight thousand, one hundred sixty".