8213756608560 has 160 divisors (see below), whose sum is σ = 25814277780480. Its totient is φ = 2160150220800.

The previous prime is 8213756608559. The next prime is 8213756608609. The reversal of 8213756608560 is 658066573128.

It is a self number, because there is not a number n which added to its sum of digits gives 8213756608560.

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 31 ways as a sum of consecutive naturals, for example, 16457895 + ... + 16949625.

It is an arithmetic number, because the mean of its divisors is an integer number (161339236128).

Almost surely, 2^{8213756608560} is an apocalyptic number.

8213756608560 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 8213756608560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12907138890240).

8213756608560 is an abundant number, since it is smaller than the sum of its proper divisors (17600521171920).

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

8213756608560 is a wasteful number, since it uses less digits than its factorization.

8213756608560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492707 (or 492701 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 57.

The spelling of 8213756608560 in words is "eight trillion, two hundred thirteen billion, seven hundred fifty-six million, six hundred eight thousand, five hundred sixty".