25305442400 has 144 divisors (see below), whose sum is σ = 72043826400. Its totient is φ = 8676057600.

The previous prime is 25305442363. The next prime is 25305442403. The reversal of 25305442400 is 424450352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25305442403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228290 + ... + 320510.

It is an arithmetic number, because the mean of its divisors is an integer number (500304350).

Almost surely, 2^25305442400 is an apocalyptic number.

25305442400 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 25305442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36021913200).

25305442400 is an abundant number, since it is smaller than the sum of its proper divisors (46738384000).

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

25305442400 is an equidigital number, since it uses as much as digits as its factorization.

25305442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92262 (or 92235 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 29.

Adding to 25305442400 its reverse (424450352), we get a palindrome (25729892752).

The spelling of 25305442400 in words is "twenty-five billion, three hundred five million, four hundred forty-two thousand, four hundred".