25120273200 has 240 divisors, whose sum is σ = 89827453056. Its totient is φ = 5948006400.

The previous prime is 25120273151. The next prime is 25120273223. The reversal of 25120273200 is 237202152.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 545472 + ... + 589728.

Almost surely, 2^25120273200 is an apocalyptic number.

25120273200 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 25120273200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44913726528).

25120273200 is an abundant number, since it is smaller than the sum of its proper divisors (64707179856).

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

25120273200 is a wasteful number, since it uses less digits than its factorization.

25120273200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44332 (or 44321 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

Adding to 25120273200 its reverse (237202152), we get a palindrome (25357475352).

The spelling of 25120273200 in words is "twenty-five billion, one hundred twenty million, two hundred seventy-three thousand, two hundred".