8602272216000 has 1344 divisors, whose sum is σ = 32249926051200. Its totient is φ = 2187288576000.

The previous prime is 8602272215947. The next prime is 8602272216007. The reversal of 8602272216000 is 6122722068.

8602272216000 is a `hidden beast` number, since 8 + 6 + 0 + 2 + 27 + 2 + 21 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8602272216007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23062391814 + ... + 23062392186.

Almost surely, 2^{8602272216000} is an apocalyptic number.

8602272216000 is a gapful number since it is divisible by the number (80) 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 8602272216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16124963025600).

8602272216000 is an abundant number, since it is smaller than the sum of its proper divisors (23647653835200).

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

8602272216000 is a wasteful number, since it uses less digits than its factorization.

8602272216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 8602272216000 its reverse (6122722068), we get a palindrome (8608394938068).

The spelling of 8602272216000 in words is "eight trillion, six hundred two billion, two hundred seventy-two million, two hundred sixteen thousand".