8210668858560 has 1344 divisors, whose sum is σ = 35568023961600. Its totient is φ = 1696188211200.

The previous prime is 8210668858537. The next prime is 8210668858589. The reversal of 8210668858560 is 658588660128.

8210668858560 is a `hidden beast` number, since 8 + 2 + 1 + 0 + 6 + 68 + 8 + 5 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 843066171 + ... + 843075909.

Almost surely, 2^{8210668858560} is an apocalyptic number.

8210668858560 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 8210668858560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17784011980800).

8210668858560 is an abundant number, since it is smaller than the sum of its proper divisors (27357355103040).

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

8210668858560 is a wasteful number, since it uses less digits than its factorization.

8210668858560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9890 (or 9877 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 63.

The spelling of 8210668858560 in words is "eight trillion, two hundred ten billion, six hundred sixty-eight million, eight hundred fifty-eight thousand, five hundred sixty".