25780584960 has 480 divisors, whose sum is σ = 99205793280. Its totient is φ = 6343114752.

The previous prime is 25780584919. The next prime is 25780584971. The reversal of 25780584960 is 6948508752.

25780584960 is a `hidden beast` number, since 2 + 57 + 8 + 0 + 584 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 25780584897 and 25780584906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11680177 + ... + 11682383.

It is an arithmetic number, because the mean of its divisors is an integer number (206678736).

Almost surely, 2^25780584960 is an apocalyptic number.

25780584960 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 25780584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49602896640).

25780584960 is an abundant number, since it is smaller than the sum of its proper divisors (73425208320).

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

25780584960 is a wasteful number, since it uses less digits than its factorization.

25780584960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 25780584960 in words is "twenty-five billion, seven hundred eighty million, five hundred eighty-four thousand, nine hundred sixty".