8505891450 has 144 divisors (see below), whose sum is σ = 26155409280. Its totient is φ = 1941356160.

The previous prime is 8505891413. The next prime is 8505891451. The reversal of 8505891450 is 541985058.

It is a happy number.

8505891450 is a `hidden beast` number, since 8 + 5 + 0 + 589 + 14 + 50 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 8505891396 and 8505891405.

It is not an unprimeable number, because it can be changed into a prime (8505891451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2761011 + ... + 2764089.

Almost surely, 2^8505891450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8505891450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13077704640).

8505891450 is an abundant number, since it is smaller than the sum of its proper divisors (17649517830).

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

8505891450 is a wasteful number, since it uses less digits than its factorization.

8505891450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3981 (or 3973 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The square root of 8505891450 is about 92227.3899121080. The cubic root of 8505891450 is about 2041.2989492600.

The spelling of 8505891450 in words is "eight billion, five hundred five million, eight hundred ninety-one thousand, four hundred fifty".