8505768000 has 448 divisors, whose sum is σ = 30887700480. Its totient is φ = 2052864000.

The previous prime is 8505767999. The next prime is 8505768053. The reversal of 8505768000 is 8675058.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 8505768000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10487595 + ... + 10488405.

It is an arithmetic number, because the mean of its divisors is an integer number (68945760).

Almost surely, 2^8505768000 is an apocalyptic number.

8505768000 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 8505768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15443850240).

8505768000 is an abundant number, since it is smaller than the sum of its proper divisors (22381932480).

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

8505768000 is a wasteful number, since it uses less digits than its factorization.

8505768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The square root of 8505768000 is about 92226.7206399534. The cubic root of 8505768000 is about 2041.2890737685.

The spelling of 8505768000 in words is "eight billion, five hundred five million, seven hundred sixty-eight thousand".