25780525056 has 288 divisors, whose sum is σ = 87485121360. Its totient is φ = 7210598400.

The previous prime is 25780525037. The next prime is 25780525123. The reversal of 25780525056 is 65052508752.

25780525056 is a `hidden beast` number, since 2 + 5 + 78 + 0 + 525 + 0 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2630886 + ... + 2640666.

Almost surely, 2^25780525056 is an apocalyptic number.

25780525056 is a gapful number since it is divisible by the number (26) 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 25780525056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43742560680).

25780525056 is an abundant number, since it is smaller than the sum of its proper divisors (61704596304).

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

25780525056 is a wasteful number, since it uses less digits than its factorization.

25780525056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9833 (or 9810 counting only the distinct ones).

The product of its (nonzero) digits is 840000, while the sum is 45.

The spelling of 25780525056 in words is "twenty-five billion, seven hundred eighty million, five hundred twenty-five thousand, fifty-six".