256306889554560 has 1024 divisors, whose sum is σ = 1020602365977600. Its totient is φ = 60317195304960.

The previous prime is 256306889554543. The next prime is 256306889554571. The reversal of 256306889554560 is 65455988603652.

It is a happy number.

256306889554560 is a `hidden beast` number, since 2 + 5 + 6 + 3 + 0 + 6 + 8 + 8 + 9 + 5 + 54 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11123936640 + ... + 11123959680.

It is an arithmetic number, because the mean of its divisors is an integer number (996681998025).

Almost surely, 2^{256306889554560} is an apocalyptic number.

256306889554560 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 256306889554560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510301182988800).

256306889554560 is an abundant number, since it is smaller than the sum of its proper divisors (764295476423040).

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

256306889554560 is a wasteful number, since it uses less digits than its factorization.

256306889554560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25258 (or 25240 counting only the distinct ones).

The product of its (nonzero) digits is 1866240000, while the sum is 72.

The spelling of 256306889554560 in words is "two hundred fifty-six trillion, three hundred six billion, eight hundred eighty-nine million, five hundred fifty-four thousand, five hundred sixty".