256838908320 has 864 divisors, whose sum is σ = 993931585920. Its totient is φ = 62548899840.

The previous prime is 256838908289. The next prime is 256838908331. The reversal of 256838908320 is 23809838652.

256838908320 is a `hidden beast` number, since 256 + 8 + 389 + 0 + 8 + 3 + 2 + 0 = 666.

256838908320 is digitally balanced in base 3, 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 (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 407034405 + ... + 407035035.

It is an arithmetic number, because the mean of its divisors is an integer number (1150383780).

Almost surely, 2^256838908320 is an apocalyptic number.

256838908320 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 256838908320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496965792960).

256838908320 is an abundant number, since it is smaller than the sum of its proper divisors (737092677600).

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

256838908320 is a wasteful number, since it uses less digits than its factorization.

256838908320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 256838908320 in words is "two hundred fifty-six billion, eight hundred thirty-eight million, nine hundred eight thousand, three hundred twenty".