6856560570006 has 384 divisors, whose sum is σ = 18698774814720. Its totient is φ = 1841363020800.

The previous prime is 6856560569951. The next prime is 6856560570049. The reversal of 6856560570006 is 6000750656586.

6856560570006 is a `hidden beast` number, since 6 + 8 + 5 + 6 + 5 + 60 + 570 + 0 + 0 + 6 = 666.

It is a super-2 number, since 2×6856560570006² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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, 2969492380 + ... + 2969494688.

It is an arithmetic number, because the mean of its divisors is an integer number (48694726080).

Almost surely, 2^{6856560570006} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6856560570006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9349387407360).

6856560570006 is an abundant number, since it is smaller than the sum of its proper divisors (11842214244714).

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

6856560570006 is a wasteful number, since it uses less digits than its factorization.

6856560570006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3162 (or 3150 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 6856560570006 in words is "six trillion, eight hundred fifty-six billion, five hundred sixty million, five hundred seventy thousand, six".