8506219138560 has 5120 divisors, whose sum is σ = 41054652334080. Its totient is φ = 1634992128000.

The previous prime is 8506219138517. The next prime is 8506219138561. The reversal of 8506219138560 is 658319126058.

8506219138560 is a `hidden beast` number, since 8 + 5 + 0 + 62 + 1 + 9 + 13 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8506219138497 and 8506219138506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8506219138561) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 119805903325 + ... + 119805903395.

It is an arithmetic number, because the mean of its divisors is an integer number (8018486784).

Almost surely, 2^{8506219138560} is an apocalyptic number.

8506219138560 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 8506219138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20527326167040).

8506219138560 is an abundant number, since it is smaller than the sum of its proper divisors (32548433195520).

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

8506219138560 is a wasteful number, since it uses less digits than its factorization.

8506219138560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 8506219138560 in words is "eight trillion, five hundred six billion, two hundred nineteen million, one hundred thirty-eight thousand, five hundred sixty".