25013253440 has 168 divisors, whose sum is σ = 69695412552. Its totient is φ = 8525475840.

The previous prime is 25013253431. The next prime is 25013253469. The reversal of 25013253440 is 4435231052.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 13076379904 + 11936873536 = 114352^2 + 109256^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2708030 + ... + 2717250.

Almost surely, 2^25013253440 is an apocalyptic number.

25013253440 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 25013253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34847706276).

25013253440 is an abundant number, since it is smaller than the sum of its proper divisors (44682159112).

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

25013253440 is a wasteful number, since it uses less digits than its factorization.

25013253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9425 (or 9408 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

Adding to 25013253440 its reverse (4435231052), we get a palindrome (29448484492).

The spelling of 25013253440 in words is "twenty-five billion, thirteen million, two hundred fifty-three thousand, four hundred forty".