256541224120 has 64 divisors (see below), whose sum is σ = 585863928000. Its totient is φ = 101089612800.

The previous prime is 256541224111. The next prime is 256541224151. The reversal of 256541224120 is 21422145652.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 644412 + ... + 963508.

It is an arithmetic number, because the mean of its divisors is an integer number (9154123875).

Almost surely, 2^256541224120 is an apocalyptic number.

256541224120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256541224120 is an abundant number, since it is smaller than the sum of its proper divisors (329322703880).

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

256541224120 is a wasteful number, since it uses less digits than its factorization.

256541224120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319408 (or 319404 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

Adding to 256541224120 its reverse (21422145652), we get a palindrome (277963369772).

The spelling of 256541224120 in words is "two hundred fifty-six billion, five hundred forty-one million, two hundred twenty-four thousand, one hundred twenty".