856616940872928 has 384 divisors, whose sum is σ = 2641982582292480. Its totient is φ = 269657869824000.

The previous prime is 856616940872821. The next prime is 856616940872939. The reversal of 856616940872928 is 829278049616658.

856616940872928 is a `hidden beast` number, since 8 + 5 + 6 + 6 + 169 + 408 + 7 + 29 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 205431468 + ... + 209559828.

It is an arithmetic number, because the mean of its divisors is an integer number (6880162974720).

Almost surely, 2^{856616940872928} 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 856616940872928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320991291146240).

856616940872928 is an abundant number, since it is smaller than the sum of its proper divisors (1785365641419552).

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

856616940872928 is a wasteful number, since it uses less digits than its factorization.

856616940872928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4128599 (or 4128585 counting only the distinct ones).

The product of its (nonzero) digits is 5016453120, while the sum is 81.

The spelling of 856616940872928 in words is "eight hundred fifty-six trillion, six hundred sixteen billion, nine hundred forty million, eight hundred seventy-two thousand, nine hundred twenty-eight".