256493998080 has 624 divisors, whose sum is σ = 982574012160. Its totient is φ = 61558751232.

The previous prime is 256493998031. The next prime is 256493998129. The reversal of 256493998080 is 80899394652.

256493998080 is a `hidden beast` number, since 2 + 56 + 49 + 399 + 80 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (256493998031) and next prime (256493998129).

It is a junction number, because it is equal to n+sod(n) for n = 256493997999 and 256493998017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72067341 + ... + 72070899.

It is an arithmetic number, because the mean of its divisors is an integer number (1574637840).

Almost surely, 2^256493998080 is an apocalyptic number.

256493998080 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 256493998080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491287006080).

256493998080 is an abundant number, since it is smaller than the sum of its proper divisors (726080014080).

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

256493998080 is a wasteful number, since it uses less digits than its factorization.

256493998080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3634 (or 3609 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 256493998080 in words is "two hundred fifty-six billion, four hundred ninety-three million, nine hundred ninety-eight thousand, eighty".