256386162211200 has 1536 divisors, whose sum is σ = 1151419604428800. Its totient is φ = 54378351820800.

The previous prime is 256386162211141. The next prime is 256386162211211. The reversal of 256386162211200 is 2112261683652.

256386162211200 is a `hidden beast` number, since 2 + 5 + 6 + 3 + 8 + 6 + 1 + 622 + 1 + 12 + 0 + 0 = 666.

256386162211200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 729817992 + ... + 730169208.

It is an arithmetic number, because the mean of its divisors is an integer number (749622138300).

Almost surely, 2^{256386162211200} is an apocalyptic number.

256386162211200 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 256386162211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575709802214400).

256386162211200 is an abundant number, since it is smaller than the sum of its proper divisors (895033442217600).

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

256386162211200 is a wasteful number, since it uses less digits than its factorization.

256386162211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351345 (or 351322 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 256386162211200 in words is "two hundred fifty-six trillion, three hundred eighty-six billion, one hundred sixty-two million, two hundred eleven thousand, two hundred".