25785282432 has 512 divisors, whose sum is σ = 90149068800. Its totient is φ = 6340239360.

The previous prime is 25785282421. The next prime is 25785282449. The reversal of 25785282432 is 23428258752.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47139183 + ... + 47139729.

It is an arithmetic number, because the mean of its divisors is an integer number (176072400).

Almost surely, 2^25785282432 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 25785282432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45074534400).

25785282432 is an abundant number, since it is smaller than the sum of its proper divisors (64363786368).

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

25785282432 is a wasteful number, since it uses less digits than its factorization.

25785282432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 662 counting only the distinct ones).

The product of its digits is 2150400, while the sum is 48.

The spelling of 25785282432 in words is "twenty-five billion, seven hundred eighty-five million, two hundred eighty-two thousand, four hundred thirty-two".