25765456752 has 480 divisors, whose sum is σ = 89857463040. Its totient is φ = 7041323520.

The previous prime is 25765456709. The next prime is 25765456753.

25765456752 is a `hidden beast` number, since 2 + 5 + 76 + 5 + 4 + 567 + 5 + 2 = 666.

25765456752 is nontrivially palindromic in base 10.

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 (25765456753) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52475227 + ... + 52475717.

It is an arithmetic number, because the mean of its divisors is an integer number (187203048).

Almost surely, 2^25765456752 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 25765456752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44928731520).

25765456752 is an abundant number, since it is smaller than the sum of its proper divisors (64092006288).

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

25765456752 is a wasteful number, since it uses less digits than its factorization.

25765456752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 607 counting only the distinct ones).

The product of its digits is 17640000, while the sum is 54.

The spelling of 25765456752 in words is "twenty-five billion, seven hundred sixty-five million, four hundred fifty-six thousand, seven hundred fifty-two".