25305428736 has 216 divisors, whose sum is σ = 87011608320. Its totient is φ = 6915667968.

The previous prime is 25305428717. The next prime is 25305428737. The reversal of 25305428736 is 63782450352.

25305428736 is a `hidden beast` number, since 2 + 5 + 30 + 542 + 8 + 73 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 25305428691 and 25305428700.

It is not an unprimeable number, because it can be changed into a prime (25305428737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 336835 + ... + 405053.

It is an arithmetic number, because the mean of its divisors is an integer number (402831520).

Almost surely, 2^25305428736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25305428736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43505804160).

25305428736 is an abundant number, since it is smaller than the sum of its proper divisors (61706179584).

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

25305428736 is a wasteful number, since it uses less digits than its factorization.

25305428736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68271 (or 68254 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 25305428736 in words is "twenty-five billion, three hundred five million, four hundred twenty-eight thousand, seven hundred thirty-six".