25304509440 has 528 divisors, whose sum is σ = 102313972800. Its totient is φ = 5780275200.

The previous prime is 25304509429. The next prime is 25304509441. The reversal of 25304509440 is 4490540352.

It is a happy number.

It is a super-2 number, since 2×25304509440² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 25304509395 and 25304509404.

It is not an unprimeable number, because it can be changed into a prime (25304509441) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 15804640 + ... + 15806240.

Almost surely, 2^25304509440 is an apocalyptic number.

25304509440 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 25304509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51156986400).

25304509440 is an abundant number, since it is smaller than the sum of its proper divisors (77009463360).

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

25304509440 is a wasteful number, since it uses less digits than its factorization.

25304509440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 25304509440 in words is "twenty-five billion, three hundred four million, five hundred nine thousand, four hundred forty".