256901120000 has 360 divisors, whose sum is σ = 746871280155. Its totient is φ = 88080384000.

The previous prime is 256901119901. The next prime is 256901120023. The reversal of 256901120000 is 21109652.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 59395538944 + 197505581056 = 243712^2 + 444416^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=358400.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 36700159997 + ... + 36700160003.

Almost surely, 2^256901120000 is an apocalyptic number.

256901120000 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 256901120000

256901120000 is an abundant number, since it is smaller than the sum of its proper divisors (489970160155).

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

256901120000 is an frugal number, since it uses more digits than its factorization.

256901120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

Adding to 256901120000 its reverse (21109652), we get a palindrome (256922229652).

The spelling of 256901120000 in words is "two hundred fifty-six billion, nine hundred one million, one hundred twenty thousand".