25681784832 has 520 divisors, whose sum is σ = 86773750272. Its totient is φ = 7498137600.

The previous prime is 25681784819. The next prime is 25681784833. The reversal of 25681784832 is 23848718652.

25681784832 is a `hidden beast` number, since 2 + 568 + 1 + 7 + 8 + 48 + 32 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25681784833) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 113135503 + ... + 113135729.

Almost surely, 2^25681784832 is an apocalyptic number.

25681784832 is a gapful number since it is divisible by the number (22) 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 25681784832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43386875136).

25681784832 is an abundant number, since it is smaller than the sum of its proper divisors (61091965440).

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

25681784832 is a wasteful number, since it uses less digits than its factorization.

25681784832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 274 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 25681784832 in words is "twenty-five billion, six hundred eighty-one million, seven hundred eighty-four thousand, eight hundred thirty-two".