8516315520 has 192 divisors, whose sum is σ = 29608254000. Its totient is φ = 2255548416.

The previous prime is 8516315503. The next prime is 8516315539. The reversal of 8516315520 is 255136158.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 853279 + ... + 863201.

Almost surely, 2^8516315520 is an apocalyptic number.

8516315520 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 8516315520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14804127000).

8516315520 is an abundant number, since it is smaller than the sum of its proper divisors (21091938480).

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

8516315520 is a wasteful number, since it uses less digits than its factorization.

8516315520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10097 (or 10082 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 8516315520 is about 92283.8854838698. The cubic root of 8516315520 is about 2042.1324874716.

The spelling of 8516315520 in words is "eight billion, five hundred sixteen million, three hundred fifteen thousand, five hundred twenty".