8215616265120 has 576 divisors, whose sum is σ = 31604825161728. Its totient is φ = 1925358336000.

The previous prime is 8215616265067. The next prime is 8215616265127. The reversal of 8215616265120 is 215626165128.

8215616265120 is a `hidden beast` number, since 8 + 2 + 1 + 5 + 6 + 1 + 626 + 5 + 12 + 0 = 666.

It is a super-2 number, since 2×8215616265120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8215616265127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 486612199 + ... + 486629081.

It is an arithmetic number, because the mean of its divisors is an integer number (54869488128).

Almost surely, 2^{8215616265120} is an apocalyptic number.

8215616265120 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 8215616265120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15802412580864).

8215616265120 is an abundant number, since it is smaller than the sum of its proper divisors (23389208896608).

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

8215616265120 is a wasteful number, since it uses less digits than its factorization.

8215616265120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17937 (or 17926 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 8215616265120 in words is "eight trillion, two hundred fifteen billion, six hundred sixteen million, two hundred sixty-five thousand, one hundred twenty".