256540560210 has 224 divisors, whose sum is σ = 756170976960. Its totient is φ = 62118576000.

The previous prime is 256540560191. The next prime is 256540560313. The reversal of 256540560210 is 12065045652.

256540560210 is a `hidden beast` number, since 2 + 5 + 6 + 5 + 40 + 5 + 602 + 1 + 0 = 666.

256540560210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 111 ways as a sum of consecutive naturals, for example, 104325961 + ... + 104328419.

It is an arithmetic number, because the mean of its divisors is an integer number (3375763290).

Almost surely, 2^256540560210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256540560210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378085488480).

256540560210 is an abundant number, since it is smaller than the sum of its proper divisors (499630416750).

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

256540560210 is a wasteful number, since it uses less digits than its factorization.

256540560210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3796 (or 3781 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 256540560210 in words is "two hundred fifty-six billion, five hundred forty million, five hundred sixty thousand, two hundred ten".