25610713653824 has 224 divisors, whose sum is σ = 58767465335040. Its totient is φ = 10968211980288.

The previous prime is 25610713653823. The next prime is 25610713653859. The reversal of 25610713653824 is 42835631701652.

It is not an unprimeable number, because it can be changed into a prime (25610713653823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5062403807 + ... + 5062408865.

It is an arithmetic number, because the mean of its divisors is an integer number (262354755960).

Almost surely, 2^{25610713653824} 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 25610713653824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29383732667520).

25610713653824 is an abundant number, since it is smaller than the sum of its proper divisors (33156751681216).

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

25610713653824 is a wasteful number, since it uses less digits than its factorization.

25610713653824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10077 (or 10067 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 53.

The spelling of 25610713653824 in words is "twenty-five trillion, six hundred ten billion, seven hundred thirteen million, six hundred fifty-three thousand, eight hundred twenty-four".