25409716224 has 128 divisors (see below), whose sum is σ = 69050821680. Its totient is φ = 8308391936.

The previous prime is 25409716193. The next prime is 25409716243. The reversal of 25409716224 is 42261790452.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5207674 + ... + 5212550.

Almost surely, 2^25409716224 is an apocalyptic number.

25409716224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25409716224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34525410840).

25409716224 is an abundant number, since it is smaller than the sum of its proper divisors (43641105456).

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

25409716224 is an frugal number, since it uses more digits than its factorization.

25409716224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4963 (or 4935 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 25409716224 in words is "twenty-five billion, four hundred nine million, seven hundred sixteen thousand, two hundred twenty-four".