25958824144 has 120 divisors (see below), whose sum is σ = 59168373696. Its totient is φ = 10920729600.

The previous prime is 25958824141. The next prime is 25958824159. The reversal of 25958824144 is 44142885952.

It is a junction number, because it is equal to n+sod(n) for n = 25958824091 and 25958824100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25958824141) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3886792 + ... + 3893464.

Almost surely, 2^25958824144 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 25958824144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29584186848).

25958824144 is an abundant number, since it is smaller than the sum of its proper divisors (33209549552).

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

25958824144 is a wasteful number, since it uses less digits than its factorization.

25958824144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6777 (or 6740 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 52.

The spelling of 25958824144 in words is "twenty-five billion, nine hundred fifty-eight million, eight hundred twenty-four thousand, one hundred forty-four".