256497489360 has 360 divisors, whose sum is σ = 1034369796096. Its totient is φ = 56736529920.

The previous prime is 256497489343. The next prime is 256497489401. The reversal of 256497489360 is 63984794652.

256497489360 is a `hidden beast` number, since 2 + 5 + 6 + 4 + 97 + 489 + 3 + 60 = 666.

256497489360 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 a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 976417 + ... + 1210943.

Almost surely, 2^256497489360 is an apocalyptic number.

256497489360 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 256497489360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517184898048).

256497489360 is an abundant number, since it is smaller than the sum of its proper divisors (777872306736).

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

256497489360 is a wasteful number, since it uses less digits than its factorization.

256497489360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234591 (or 234575 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 256497489360 in words is "two hundred fifty-six billion, four hundred ninety-seven million, four hundred eighty-nine thousand, three hundred sixty".