25930727424 has 512 divisors, whose sum is σ = 90595584000. Its totient is φ = 7176978432.

The previous prime is 25930727401. The next prime is 25930727443. The reversal of 25930727424 is 42472703952.

25930727424 is a `hidden beast` number, since 2 + 59 + 307 + 274 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a self number, because there is not a number n which added to its sum of digits gives 25930727424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328237017 + ... + 328237095.

It is an arithmetic number, because the mean of its divisors is an integer number (176944500).

Almost surely, 2^25930727424 is an apocalyptic number.

25930727424 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 25930727424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45297792000).

25930727424 is an abundant number, since it is smaller than the sum of its proper divisors (64664856576).

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

25930727424 is an frugal number, since it uses more digits than its factorization.

25930727424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 25930727424 in words is "twenty-five billion, nine hundred thirty million, seven hundred twenty-seven thousand, four hundred twenty-four".