360221151600 has 720 divisors, whose sum is σ = 1347545751552. Its totient is φ = 88875325440.

The previous prime is 360221151583. The next prime is 360221151607. The reversal of 360221151600 is 6151122063.

360221151600 is a `hidden beast` number, since 3 + 6 + 0 + 2 + 2 + 1 + 1 + 51 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360221151607) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 940525009 + ... + 940525391.

Almost surely, 2^360221151600 is an apocalyptic number.

360221151600 is a gapful number since it is divisible by the number (30) 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 360221151600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673772875776).

360221151600 is an abundant number, since it is smaller than the sum of its proper divisors (987324599952).

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

360221151600 is a wasteful number, since it uses less digits than its factorization.

360221151600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 360221151600 its reverse (6151122063), we get a palindrome (366372273663).

The spelling of 360221151600 in words is "three hundred sixty billion, two hundred twenty-one million, one hundred fifty-one thousand, six hundred".