8505539280 has 480 divisors, whose sum is σ = 35512798464. Its totient is φ = 1779646464.

The previous prime is 8505539261. The next prime is 8505539281. The reversal of 8505539280 is 829355058.

8505539280 is a `hidden beast` number, since 8 + 5 + 0 + 553 + 92 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8505539281) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3168819 + ... + 3171501.

Almost surely, 2^8505539280 is an apocalyptic number.

8505539280 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 8505539280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17756399232).

8505539280 is an abundant number, since it is smaller than the sum of its proper divisors (27007259184).

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

8505539280 is a wasteful number, since it uses less digits than its factorization.

8505539280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2763 (or 2754 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The square root of 8505539280 is about 92225.4806439088. The cubic root of 8505539280 is about 2041.2707768583.

The spelling of 8505539280 in words is "eight billion, five hundred five million, five hundred thirty-nine thousand, two hundred eighty".