256875442560 has 640 divisors, whose sum is σ = 1008908144640. Its totient is φ = 61765079040.

The previous prime is 256875442559. The next prime is 256875442673. The reversal of 256875442560 is 65244578652.

256875442560 is a `hidden beast` number, since 2 + 5 + 6 + 8 + 75 + 4 + 4 + 2 + 560 = 666.

256875442560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 256875442497 and 256875442506.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 72418707 + ... + 72422253.

It is an arithmetic number, because the mean of its divisors is an integer number (1576418976).

Almost surely, 2^256875442560 is an apocalyptic number.

256875442560 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 256875442560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504454072320).

256875442560 is an abundant number, since it is smaller than the sum of its proper divisors (752032702080).

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

256875442560 is a wasteful number, since it uses less digits than its factorization.

256875442560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3716 (or 3695 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 256875442560 in words is "two hundred fifty-six billion, eight hundred seventy-five million, four hundred forty-two thousand, five hundred sixty".