8505727920 has 320 divisors, whose sum is σ = 30769459200. Its totient is φ = 2156820480.

The previous prime is 8505727913. The next prime is 8505727987. The reversal of 8505727920 is 297275058.

It is a happy number.

8505727920 is a `hidden beast` number, since 8 + 5 + 0 + 572 + 79 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3949564 + ... + 3951716.

It is an arithmetic number, because the mean of its divisors is an integer number (96154560).

Almost surely, 2^8505727920 is an apocalyptic number.

8505727920 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 8505727920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15384729600).

8505727920 is an abundant number, since it is smaller than the sum of its proper divisors (22263731280).

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

8505727920 is a wasteful number, since it uses less digits than its factorization.

8505727920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 8505727920 is about 92226.5033490916. The cubic root of 8505727920 is about 2041.2858675131.

The spelling of 8505727920 in words is "eight billion, five hundred five million, seven hundred twenty-seven thousand, nine hundred twenty".