256215868050384 has 360 divisors, whose sum is σ = 816718681658880. Its totient is φ = 74318234265600.

The previous prime is 256215868050383. The next prime is 256215868050433. The reversal of 256215868050384 is 483050868512652.

256215868050384 is a `hidden beast` number, since 2 + 5 + 62 + 1 + 5 + 8 + 68 + 0 + 503 + 8 + 4 = 666.

256215868050384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256215868050383) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 181725457 + ... + 183129935.

It is an arithmetic number, because the mean of its divisors is an integer number (2268663004608).

Almost surely, 2^{256215868050384} is an apocalyptic number.

256215868050384 is a gapful number since it is divisible by the number (24) 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 256215868050384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408359340829440).

256215868050384 is an abundant number, since it is smaller than the sum of its proper divisors (560502813608496).

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

256215868050384 is a wasteful number, since it uses less digits than its factorization.

256215868050384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404651 (or 1404589 counting only the distinct ones).

The product of its (nonzero) digits is 110592000, while the sum is 63.

The spelling of 256215868050384 in words is "two hundred fifty-six trillion, two hundred fifteen billion, eight hundred sixty-eight million, fifty thousand, three hundred eighty-four".