8102315520 has 640 divisors, whose sum is σ = 31677972480. Its totient is φ = 1950842880.

The previous prime is 8102315513. The next prime is 8102315531. The reversal of 8102315520 is 255132018.

It is a happy number.

8102315520 is a `hidden beast` number, since 8 + 102 + 3 + 1 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63797697 + ... + 63797823.

It is an arithmetic number, because the mean of its divisors is an integer number (49496832).

Almost surely, 2^8102315520 is an apocalyptic number.

8102315520 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 8102315520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15838986240).

8102315520 is an abundant number, since it is smaller than the sum of its proper divisors (23575656960).

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

8102315520 is a wasteful number, since it uses less digits than its factorization.

8102315520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 8102315520 is about 90012.8630807842. The cubic root of 8102315520 is about 2008.4902005801.

Adding to 8102315520 its reverse (255132018), we get a palindrome (8357447538).

The spelling of 8102315520 in words is "eight billion, one hundred two million, three hundred fifteen thousand, five hundred twenty".