25982369280 has 960 divisors, whose sum is σ = 110817907200. Its totient is φ = 5494210560.

The previous prime is 25982369263. The next prime is 25982369293. The reversal of 25982369280 is 8296328952.

25982369280 is a `hidden beast` number, since 2 + 598 + 23 + 6 + 9 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 186923451 + ... + 186923589.

It is an arithmetic number, because the mean of its divisors is an integer number (115435320).

Almost surely, 2^25982369280 is an apocalyptic number.

25982369280 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 25982369280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55408953600).

25982369280 is an abundant number, since it is smaller than the sum of its proper divisors (84835537920).

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

25982369280 is a wasteful number, since it uses less digits than its factorization.

25982369280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 25982369280 in words is "twenty-five billion, nine hundred eighty-two million, three hundred sixty-nine thousand, two hundred eighty".