8851200768 has 432 divisors, whose sum is σ = 28697760000. Its totient is φ = 2610634752.

The previous prime is 8851200767. The next prime is 8851200779. The reversal of 8851200768 is 8670021588.

It is not an unprimeable number, because it can be changed into a prime (8851200767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59403958 + ... + 59404106.

It is an arithmetic number, because the mean of its divisors is an integer number (66430000).

Almost surely, 2^8851200768 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 8851200768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14348880000).

8851200768 is an abundant number, since it is smaller than the sum of its proper divisors (19846559232).

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

8851200768 is a wasteful number, since it uses less digits than its factorization.

8851200768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 8851200768 is about 94080.8204045862. The cubic root of 8851200768 is about 2068.5565460185.

The spelling of 8851200768 in words is "eight billion, eight hundred fifty-one million, two hundred thousand, seven hundred sixty-eight".