25785781056 has 560 divisors, whose sum is σ = 91611907200. Its totient is φ = 7016067072.

The previous prime is 25785781003. The next prime is 25785781057. The reversal of 25785781056 is 65018758752.

25785781056 is a `hidden beast` number, since 2 + 5 + 7 + 8 + 578 + 10 + 56 = 666.

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 = 25785780993 and 25785781011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25785781057) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 112601550 + ... + 112601778.

Almost surely, 2^25785781056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25785781056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45805953600).

25785781056 is an abundant number, since it is smaller than the sum of its proper divisors (65826126144).

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

25785781056 is a wasteful number, since it uses less digits than its factorization.

25785781056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 54.

The spelling of 25785781056 in words is "twenty-five billion, seven hundred eighty-five million, seven hundred eighty-one thousand, fifty-six".