256097786112 has 864 divisors, whose sum is σ = 918328320000. Its totient is φ = 67025387520.

The previous prime is 256097786083. The next prime is 256097786159. The reversal of 256097786112 is 211687790652.

256097786112 is a `hidden beast` number, since 2 + 560 + 9 + 7 + 7 + 8 + 61 + 12 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1718777014 + ... + 1718777162.

It is an arithmetic number, because the mean of its divisors is an integer number (1062880000).

Almost surely, 2^256097786112 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 256097786112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459164160000).

256097786112 is an abundant number, since it is smaller than the sum of its proper divisors (662230533888).

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

256097786112 is a wasteful number, since it uses less digits than its factorization.

256097786112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 256097786112 in words is "two hundred fifty-six billion, ninety-seven million, seven hundred eighty-six thousand, one hundred twelve".