256947094010880 has 4224 divisors, whose sum is σ = 1178156662824960. Its totient is φ = 52766398218240.

The previous prime is 256947094010857. The next prime is 256947094010897. The reversal of 256947094010880 is 88010490749652.

256947094010880 is a `hidden beast` number, since 2 + 5 + 69 + 470 + 94 + 0 + 10 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 1419597204390 + ... + 1419597204570.

Almost surely, 2^{256947094010880} is an apocalyptic number.

256947094010880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256947094010880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589078331412480).

256947094010880 is an abundant number, since it is smaller than the sum of its proper divisors (921209568814080).

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

256947094010880 is an equidigital number, since it uses as much as digits as its factorization.

256947094010880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 256947094010880 in words is "two hundred fifty-six trillion, nine hundred forty-seven billion, ninety-four million, ten thousand, eight hundred eighty".