256750116210 has 288 divisors, whose sum is σ = 814518581760. Its totient is φ = 55883084544.

The previous prime is 256750116199. The next prime is 256750116223. The reversal of 256750116210 is 12611057652.

256750116210 is a `hidden beast` number, since 25 + 6 + 7 + 5 + 0 + 1 + 1 + 621 + 0 = 666.

256750116210 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7652251 + ... + 7685729.

It is an arithmetic number, because the mean of its divisors is an integer number (2828189520).

Almost surely, 2^256750116210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256750116210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407259290880).

256750116210 is an abundant number, since it is smaller than the sum of its proper divisors (557768465550).

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

256750116210 is a wasteful number, since it uses less digits than its factorization.

256750116210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33590 (or 33580 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 256750116210 in words is "two hundred fifty-six billion, seven hundred fifty million, one hundred sixteen thousand, two hundred ten".