256562316000 has 288 divisors, whose sum is σ = 944266927968. Its totient is φ = 68416358400.

The previous prime is 256562315981. The next prime is 256562316019. The reversal of 256562316000 is 613265652.

It is a happy number.

256562316000 is a `hidden beast` number, since 2 + 5 + 6 + 562 + 31 + 60 + 0 + 0 = 666.

256562316000 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 (256562315981) and next prime (256562316019).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 840024 + ... + 1103976.

It is an arithmetic number, because the mean of its divisors is an integer number (3278704611).

Almost surely, 2^256562316000 is an apocalyptic number.

256562316000 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 256562316000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472133463984).

256562316000 is an abundant number, since it is smaller than the sum of its proper divisors (687704611968).

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

256562316000 is an equidigital number, since it uses as much as digits as its factorization.

256562316000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263993 (or 263963 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 256562316000 in words is "two hundred fifty-six billion, five hundred sixty-two million, three hundred sixteen thousand".