25254275200 has 384 divisors, whose sum is σ = 82368835200. Its totient is φ = 7407206400.

The previous prime is 25254275197. The next prime is 25254275257. The reversal of 25254275200 is 257245252.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4185786 + ... + 4191814.

It is an arithmetic number, because the mean of its divisors is an integer number (214502175).

Almost surely, 2^25254275200 is an apocalyptic number.

25254275200 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 25254275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41184417600).

25254275200 is an abundant number, since it is smaller than the sum of its proper divisors (57114560000).

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

25254275200 is a wasteful number, since it uses less digits than its factorization.

25254275200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6088 (or 6071 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 34.

The spelling of 25254275200 in words is "twenty-five billion, two hundred fifty-four million, two hundred seventy-five thousand, two hundred".