8199147520 has 156 divisors (see below), whose sum is σ = 20784334860. Its totient is φ = 3104243712.

The previous prime is 8199147511. The next prime is 8199147527. The reversal of 8199147520 is 257419918.

It can be written as a sum of positive squares in 2 ways, for example, as 1159266304 + 7039881216 = 34048^2 + 83904^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8199147527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7392726 + ... + 7393834.

Almost surely, 2^8199147520 is an apocalyptic number.

8199147520 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 8199147520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10392167430).

8199147520 is an abundant number, since it is smaller than the sum of its proper divisors (12585187340).

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

8199147520 is a wasteful number, since it uses less digits than its factorization.

8199147520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 46.

The square root of 8199147520 is about 90549.1442256634. The cubic root of 8199147520 is about 2016.4597926656.

The spelling of 8199147520 in words is "eight billion, one hundred ninety-nine million, one hundred forty-seven thousand, five hundred twenty".