256768226094240 has 576 divisors, whose sum is σ = 1035263855388672. Its totient is φ = 56710687334400.

The previous prime is 256768226094239. The next prime is 256768226094437. The reversal of 256768226094240 is 42490622867652.

256768226094240 is a `hidden beast` number, since 2 + 5 + 6 + 76 + 82 + 2 + 60 + 9 + 424 + 0 = 666.

256768226094240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×256768226094240² (a number of 30 digits) contains 22 as substring.

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

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, 205927714 + ... + 207170846.

It is an arithmetic number, because the mean of its divisors is an integer number (1797333082272).

Almost surely, 2^{256768226094240} is an apocalyptic number.

256768226094240 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 256768226094240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517631927694336).

256768226094240 is an abundant number, since it is smaller than the sum of its proper divisors (778495629294432).

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

256768226094240 is a wasteful number, since it uses less digits than its factorization.

256768226094240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243853 (or 1243842 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 256768226094240 in words is "two hundred fifty-six trillion, seven hundred sixty-eight billion, two hundred twenty-six million, ninety-four thousand, two hundred forty".