25436328736 has 384 divisors, whose sum is σ = 68279500800. Its totient is φ = 9045872640.

The previous prime is 25436328733. The next prime is 25436328763. The reversal of 25436328736 is 63782363452.

It is a self number, because there is not a number n which added to its sum of digits gives 25436328736.

It is not an unprimeable number, because it can be changed into a prime (25436328733) 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 63 ways as a sum of consecutive naturals, for example, 133174401 + ... + 133174591.

It is an arithmetic number, because the mean of its divisors is an integer number (177811200).

Almost surely, 2^25436328736 is an apocalyptic number.

25436328736 is a gapful number since it is divisible by the number (26) 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 25436328736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34139750400).

25436328736 is an abundant number, since it is smaller than the sum of its proper divisors (42843172064).

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

25436328736 is a wasteful number, since it uses less digits than its factorization.

25436328736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 344 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 49.

The spelling of 25436328736 in words is "twenty-five billion, four hundred thirty-six million, three hundred twenty-eight thousand, seven hundred thirty-six".