25403293468224 has 567 divisors, whose sum is σ = 89451225661707. Its totient is φ = 6871724729856.

The previous prime is 25403293468213. The next prime is 25403293468247. The reversal of 25403293468224 is 42286439230452.

The square root of 25403293468224 is 5040168.

It is a perfect power (a square), and thus also a powerful number.

25403293468224 is a `hidden beast` number, since 2 + 5 + 4 + 0 + 329 + 34 + 68 + 224 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 16088215467 + ... + 16088217045.

Almost surely, 2^{25403293468224} is an apocalyptic number.

25403293468224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

25403293468224 is the 5040168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25403293468224

25403293468224 is an abundant number, since it is smaller than the sum of its proper divisors (64047932193483).

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

25403293468224 is an equidigital number, since it uses as much as digits as its factorization.

25403293468224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3228 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 54.

The spelling of 25403293468224 in words is "twenty-five trillion, four hundred three billion, two hundred ninety-three million, four hundred sixty-eight thousand, two hundred twenty-four".