25306410540 has 96 divisors (see below), whose sum is σ = 72012326400. Its totient is φ = 6638708736.

The previous prime is 25306410533. The next prime is 25306410551. The reversal of 25306410540 is 4501460352.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 25306410498 and 25306410507.

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, 3304636 + ... + 3312284.

It is an arithmetic number, because the mean of its divisors is an integer number (750128400).

Almost surely, 2^25306410540 is an apocalyptic number.

25306410540 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 25306410540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36006163200).

25306410540 is an abundant number, since it is smaller than the sum of its proper divisors (46705915860).

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

25306410540 is a wasteful number, since it uses less digits than its factorization.

25306410540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8551 (or 8549 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 25306410540 its reverse (4501460352), we get a palindrome (29807870892).

The spelling of 25306410540 in words is "twenty-five billion, three hundred six million, four hundred ten thousand, five hundred forty".