256256507760 has 640 divisors, whose sum is σ = 923460894720. Its totient is φ = 58210099200.

The previous prime is 256256507713. The next prime is 256256507803. The reversal of 256256507760 is 67705652652.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 352484517 + ... + 352485243.

It is an arithmetic number, because the mean of its divisors is an integer number (1442907648).

Almost surely, 2^256256507760 is an apocalyptic number.

256256507760 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 256256507760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461730447360).

256256507760 is an abundant number, since it is smaller than the sum of its proper divisors (667204386960).

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

256256507760 is a wasteful number, since it uses less digits than its factorization.

256256507760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 51.

The spelling of 256256507760 in words is "two hundred fifty-six billion, two hundred fifty-six million, five hundred seven thousand, seven hundred sixty".