256580489088 has 576 divisors, whose sum is σ = 969339150000. Its totient is φ = 64341688320.

The previous prime is 256580489083. The next prime is 256580489089. The reversal of 256580489088 is 880984085652.

256580489088 is a `hidden beast` number, since 2 + 5 + 6 + 580 + 48 + 9 + 0 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256580489083) 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, 17999788 + ... + 18014036.

Almost surely, 2^256580489088 is an apocalyptic number.

256580489088 is a gapful number since it is divisible by the number (28) 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 256580489088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484669575000).

256580489088 is an abundant number, since it is smaller than the sum of its proper divisors (712758660912).

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

256580489088 is a wasteful number, since it uses less digits than its factorization.

256580489088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14323 (or 14301 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 63.

The spelling of 256580489088 in words is "two hundred fifty-six billion, five hundred eighty million, four hundred eighty-nine thousand, eighty-eight".