8505084720 has 160 divisors (see below), whose sum is σ = 28852510464. Its totient is φ = 2055398400.

The previous prime is 8505084697. The next prime is 8505084727. The reversal of 8505084720 is 274805058.

It is not an unprimeable number, because it can be changed into a prime (8505084727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 868974 + ... + 878706.

Almost surely, 2^8505084720 is an apocalyptic number.

8505084720 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 8505084720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14426255232).

8505084720 is an abundant number, since it is smaller than the sum of its proper divisors (20347425744).

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

8505084720 is a wasteful number, since it uses less digits than its factorization.

8505084720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10091 (or 10085 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 39.

The square root of 8505084720 is about 92223.0162161269. The cubic root of 8505084720 is about 2041.2344124553.

Adding to 8505084720 its reverse (274805058), we get a palindrome (8779889778).

The spelling of 8505084720 in words is "eight billion, five hundred five million, eighty-four thousand, seven hundred twenty".