856781795788800 has 6912 divisors, whose sum is σ = 3755740417228800. Its totient is φ = 171101926195200.

The previous prime is 856781795788687. The next prime is 856781795788811. The reversal of 856781795788800 is 8887597187658.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 856781795788698 and 856781795788707.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 10845339187161 + ... + 10845339187239.

It is an arithmetic number, because the mean of its divisors is an integer number (543365222400).

Almost surely, 2^{856781795788800} is an apocalyptic number.

856781795788800 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 856781795788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1877870208614400).

856781795788800 is an abundant number, since it is smaller than the sum of its proper divisors (2898958621440000).

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

856781795788800 is a wasteful number, since it uses less digits than its factorization.

856781795788800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 15173222400, while the sum is 87.

The spelling of 856781795788800 in words is "eight hundred fifty-six trillion, seven hundred eighty-one billion, seven hundred ninety-five million, seven hundred eighty-eight thousand, eight hundred".