25442303200 has 144 divisors (see below), whose sum is σ = 65622674880. Its totient is φ = 9616517120.

The previous prime is 25442303189. The next prime is 25442303203. The reversal of 25442303200 is 230324452.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25442303203) 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, 1078734 + ... + 1102066.

It is an arithmetic number, because the mean of its divisors is an integer number (455713020).

Almost surely, 2^25442303200 is an apocalyptic number.

25442303200 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 25442303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32811337440).

25442303200 is an abundant number, since it is smaller than the sum of its proper divisors (40180371680).

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

25442303200 is a wasteful number, since it uses less digits than its factorization.

25442303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23429 (or 23416 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 25442303200 its reverse (230324452), we get a palindrome (25672627652).

The spelling of 25442303200 in words is "twenty-five billion, four hundred forty-two million, three hundred three thousand, two hundred".