856257907188096 has 4608 divisors, whose sum is σ = 3279509026560000. Its totient is φ = 212971349606400.

The previous prime is 856257907188077. The next prime is 856257907188113. The reversal of 856257907188096 is 690881709752658.

856257907188096 is a `hidden beast` number, since 8 + 56 + 257 + 90 + 71 + 8 + 80 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 9620875361620 + ... + 9620875361708.

It is an arithmetic number, because the mean of its divisors is an integer number (711699007500).

Almost surely, 2^{856257907188096} 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 856257907188096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639754513280000).

856257907188096 is an abundant number, since it is smaller than the sum of its proper divisors (2423251119371904).

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

856257907188096 is a wasteful number, since it uses less digits than its factorization.

856257907188096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 3657830400, while the sum is 81.

The spelling of 856257907188096 in words is "eight hundred fifty-six trillion, two hundred fifty-seven billion, nine hundred seven million, one hundred eighty-eight thousand, ninety-six".