256069751040 has 216 divisors, whose sum is σ = 889279012440. Its totient is φ = 68030595072.

The previous prime is 256069751029. The next prime is 256069751053. The reversal of 256069751040 is 40157960652.

256069751040 is a `hidden beast` number, since 2 + 5 + 6 + 0 + 6 + 97 + 510 + 40 = 666.

256069751040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3792589056 + 252277161984 = 61584^2 + 502272^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3057564 + ... + 3140196.

It is an arithmetic number, because the mean of its divisors is an integer number (4117032465).

Almost surely, 2^256069751040 is an apocalyptic number.

256069751040 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 256069751040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444639506220).

256069751040 is an abundant number, since it is smaller than the sum of its proper divisors (633209261400).

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

256069751040 is a wasteful number, since it uses less digits than its factorization.

256069751040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82929 (or 82912 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 256069751040 in words is "two hundred fifty-six billion, sixty-nine million, seven hundred fifty-one thousand, forty".