25705450752 has 144 divisors (see below), whose sum is σ = 69920399808. Its totient is φ = 8381399040.

The previous prime is 25705450741. The next prime is 25705450753.

25705450752 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25705450753) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9040243 + ... + 9043085.

It is an arithmetic number, because the mean of its divisors is an integer number (485558332).

Almost surely, 2^25705450752 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 25705450752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34960199904).

25705450752 is an abundant number, since it is smaller than the sum of its proper divisors (44214949056).

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

25705450752 is a wasteful number, since it uses less digits than its factorization.

25705450752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3116 (or 3102 counting only the distinct ones).

The product of its (nonzero) digits is 490000, while the sum is 42.

The spelling of 25705450752 in words is "twenty-five billion, seven hundred five million, four hundred fifty thousand, seven hundred fifty-two".