8115205120 has 176 divisors, whose sum is σ = 21488587200. Its totient is φ = 2916024320.

The previous prime is 8115205061. The next prime is 8115205123. The reversal of 8115205120 is 215025118.

It is a tau number, because it is divible by the number of its divisors (176).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8115205123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5011671 + ... + 5013289.

Almost surely, 2^8115205120 is an apocalyptic number.

8115205120 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 8115205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10744293600).

8115205120 is an abundant number, since it is smaller than the sum of its proper divisors (13373382080).

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

8115205120 is a wasteful number, since it uses less digits than its factorization.

8115205120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1744 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 25.

The square root of 8115205120 is about 90084.4332834480. The cubic root of 8115205120 is about 2009.5547077571.

The spelling of 8115205120 in words is "eight billion, one hundred fifteen million, two hundred five thousand, one hundred twenty".