857223392256 has 2112 divisors, whose sum is σ = 3500145976320. Its totient is φ = 204374016000.

The previous prime is 857223392239. The next prime is 857223392303. The reversal of 857223392256 is 652293322758.

857223392256 is a `hidden beast` number, since 8 + 5 + 7 + 223 + 392 + 25 + 6 = 666.

857223392256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14052842466 + ... + 14052842526.

Almost surely, 2^857223392256 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 857223392256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750072988160).

857223392256 is an abundant number, since it is smaller than the sum of its proper divisors (2642922584064).

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

857223392256 is a wasteful number, since it uses less digits than its factorization.

857223392256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 148 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 857223392256 in words is "eight hundred fifty-seven billion, two hundred twenty-three million, three hundred ninety-two thousand, two hundred fifty-six".