856776333312 has 288 divisors, whose sum is σ = 2523402882000. Its totient is φ = 279978639360.

The previous prime is 856776333269. The next prime is 856776333317. The reversal of 856776333312 is 213333677658.

856776333312 is a `hidden beast` number, since 8 + 567 + 7 + 6 + 33 + 33 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (856776333317) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 501331114 + ... + 501332822.

Almost surely, 2^856776333312 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 856776333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261701441000).

856776333312 is an abundant number, since it is smaller than the sum of its proper divisors (1666626548688).

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

856776333312 is a wasteful number, since it uses less digits than its factorization.

856776333312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2257 (or 2234 counting only the distinct ones).

The product of its digits is 11430720, while the sum is 54.

The spelling of 856776333312 in words is "eight hundred fifty-six billion, seven hundred seventy-six million, three hundred thirty-three thousand, three hundred twelve".