256277820960 has 576 divisors, whose sum is σ = 1059216238080. Its totient is φ = 55175823360.

The previous prime is 256277820959. The next prime is 256277820961. The reversal of 256277820960 is 69028772652.

256277820960 is a `hidden beast` number, since 2 + 5 + 627 + 7 + 8 + 2 + 0 + 9 + 6 + 0 = 666.

256277820960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (256277820959) and next prime (256277820961).

It is a junction number, because it is equal to n+sod(n) for n = 256277820897 and 256277820906.

It is not an unprimeable number, because it can be changed into a prime (256277820961) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 11974429 + ... + 11995811.

It is an arithmetic number, because the mean of its divisors is an integer number (1838917080).

Almost surely, 2^256277820960 is an apocalyptic number.

256277820960 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 256277820960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529608119040).

256277820960 is an abundant number, since it is smaller than the sum of its proper divisors (802938417120).

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

256277820960 is a wasteful number, since it uses less digits than its factorization.

256277820960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21481 (or 21470 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 256277820960 in words is "two hundred fifty-six billion, two hundred seventy-seven million, eight hundred twenty thousand, nine hundred sixty".