6859852234560 has 1120 divisors, whose sum is σ = 27893037553920. Its totient is φ = 1585342513152.

The previous prime is 6859852234553. The next prime is 6859852234567. The reversal of 6859852234560 is 654322589586.

6859852234560 is a `hidden beast` number, since 6 + 8 + 5 + 9 + 8 + 522 + 3 + 45 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (6859852234553) and next prime (6859852234567).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6859852234567) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2789690611 + ... + 2789693069.

It is an arithmetic number, because the mean of its divisors is an integer number (24904497816).

Almost surely, 2^{6859852234560} is an apocalyptic number.

6859852234560 is a gapful number since it is divisible by the number (60) 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 6859852234560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13946518776960).

6859852234560 is an abundant number, since it is smaller than the sum of its proper divisors (21033185319360).

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

6859852234560 is a wasteful number, since it uses less digits than its factorization.

6859852234560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3005 (or 2986 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 63.

The spelling of 6859852234560 in words is "six trillion, eight hundred fifty-nine billion, eight hundred fifty-two million, two hundred thirty-four thousand, five hundred sixty".