25386438420 has 576 divisors, whose sum is σ = 94687756800. Its totient is φ = 5706215424.

The previous prime is 25386438397. The next prime is 25386438421. The reversal of 25386438420 is 2483468352.

25386438420 is a `hidden beast` number, since 2 + 538 + 64 + 38 + 4 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25386438421) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 161696982 + ... + 161697138.

Almost surely, 2^25386438420 is an apocalyptic number.

25386438420 is a gapful number since it is divisible by the number (20) 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 25386438420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47343878400).

25386438420 is an abundant number, since it is smaller than the sum of its proper divisors (69301318380).

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

25386438420 is a wasteful number, since it uses less digits than its factorization.

25386438420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 25386438420 in words is "twenty-five billion, three hundred eighty-six million, four hundred thirty-eight thousand, four hundred twenty".