25785658752 has 512 divisors, whose sum is σ = 86534645760. Its totient is φ = 6635520000.

The previous prime is 25785658751. The next prime is 25785658771.

25785658752 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25785658751) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 170765877 + ... + 170766027.

It is an arithmetic number, because the mean of its divisors is an integer number (169012980).

Almost surely, 2^25785658752 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 25785658752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43267322880).

25785658752 is an abundant number, since it is smaller than the sum of its proper divisors (60748987008).

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

25785658752 is a wasteful number, since it uses less digits than its factorization.

25785658752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 318 counting only the distinct ones).

The product of its digits is 47040000, while the sum is 60.

The spelling of 25785658752 in words is "twenty-five billion, seven hundred eighty-five million, six hundred fifty-eight thousand, seven hundred fifty-two".