8505410720 has 48 divisors (see below), whose sum is σ = 20104527240. Its totient is φ = 3400387584.

The previous prime is 8505410717. The next prime is 8505410761. The reversal of 8505410720 is 270145058.

It can be written as a sum of positive squares in 4 ways, for example, as 7031157904 + 1474252816 = 83852^2 + 38396^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 318194 + ... + 343886.

Almost surely, 2^8505410720 is an apocalyptic number.

8505410720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8505410720 is an abundant number, since it is smaller than the sum of its proper divisors (11599116520).

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

8505410720 is a wasteful number, since it uses less digits than its factorization.

8505410720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27777 (or 27769 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

The square root of 8505410720 is about 92224.7836538530. The cubic root of 8505410720 is about 2041.2604923019.

Adding to 8505410720 its reverse (270145058), we get a palindrome (8775555778).

The spelling of 8505410720 in words is "eight billion, five hundred five million, four hundred ten thousand, seven hundred twenty".