256998204320 has 192 divisors, whose sum is σ = 750848434560. Its totient is φ = 81724723200.

The previous prime is 256998204299. The next prime is 256998204383. The reversal of 256998204320 is 23402899652.

256998204320 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 139130 + ... + 730310.

It is an arithmetic number, because the mean of its divisors is an integer number (3910668930).

Almost surely, 2^256998204320 is an apocalyptic number.

256998204320 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 256998204320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375424217280).

256998204320 is an abundant number, since it is smaller than the sum of its proper divisors (493850230240).

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

256998204320 is a wasteful number, since it uses less digits than its factorization.

256998204320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591239 (or 591231 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 50.

The spelling of 256998204320 in words is "two hundred fifty-six billion, nine hundred ninety-eight million, two hundred four thousand, three hundred twenty".