8505725760 has 840 divisors, whose sum is σ = 36347134824. Its totient is φ = 1881169920.

The previous prime is 8505725741. The next prime is 8505725771. The reversal of 8505725760 is 675275058.

8505725760 is a `hidden beast` number, since 8 + 5 + 0 + 5 + 72 + 576 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 366799104 + 8138926656 = 19152^2 + 90216^2 .

It is a tau number, because it is divible by the number of its divisors (840).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 46992870 + ... + 46993050.

Almost surely, 2^8505725760 is an apocalyptic number.

8505725760 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 8505725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18173567412).

8505725760 is an abundant number, since it is smaller than the sum of its proper divisors (27841409064).

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

8505725760 is a wasteful number, since it uses less digits than its factorization.

8505725760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The square root of 8505725760 is about 92226.4916387911. The cubic root of 8505725760 is about 2041.2856947206.

The spelling of 8505725760 in words is "eight billion, five hundred five million, seven hundred twenty-five thousand, seven hundred sixty".