8505019800 has 144 divisors (see below), whose sum is σ = 29334885840. Its totient is φ = 2206690560.

The previous prime is 8505019793. The next prime is 8505019801. The reversal of 8505019800 is 89105058.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8505019801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2749 + ... + 130451.

It is an arithmetic number, because the mean of its divisors is an integer number (203714485).

Almost surely, 2^8505019800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8505019800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14667442920).

8505019800 is an abundant number, since it is smaller than the sum of its proper divisors (20829866040).

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

8505019800 is a wasteful number, since it uses less digits than its factorization.

8505019800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127762 (or 127750 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The square root of 8505019800 is about 92222.6642425819. The cubic root of 8505019800 is about 2041.2292188062.

The spelling of 8505019800 in words is "eight billion, five hundred five million, nineteen thousand, eight hundred".