25305112000 has 448 divisors, whose sum is σ = 79881984000. Its totient is φ = 7730380800.

The previous prime is 25305111959. The next prime is 25305112009. The reversal of 25305112000 is 21150352.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25305112009) 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, 18087301 + ... + 18088699.

It is an arithmetic number, because the mean of its divisors is an integer number (178308000).

Almost surely, 2^25305112000 is an apocalyptic number.

25305112000 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 25305112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39940992000).

25305112000 is an abundant number, since it is smaller than the sum of its proper divisors (54576872000).

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

25305112000 is a wasteful number, since it uses less digits than its factorization.

25305112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

Adding to 25305112000 its reverse (21150352), we get a palindrome (25326262352).

The spelling of 25305112000 in words is "twenty-five billion, three hundred five million, one hundred twelve thousand".