6801235001856 has 240 divisors, whose sum is σ = 20824901121024. Its totient is φ = 2129466458112.

The previous prime is 6801235001843. The next prime is 6801235001861. The reversal of 6801235001856 is 6581005321086.

6801235001856 is a `hidden beast` number, since 6 + 8 + 0 + 123 + 500 + 18 + 5 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39316705 + ... + 39489311.

Almost surely, 2^{6801235001856} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6801235001856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10412450560512).

6801235001856 is an abundant number, since it is smaller than the sum of its proper divisors (14023666119168).

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

6801235001856 is a wasteful number, since it uses less digits than its factorization.

6801235001856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173151 (or 173132 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 6801235001856 in words is "six trillion, eight hundred one billion, two hundred thirty-five million, one thousand, eight hundred fifty-six".