25353045200 has 480 divisors, whose sum is σ = 78657465600. Its totient is φ = 7670661120.

The previous prime is 25353045131. The next prime is 25353045209. The reversal of 25353045200 is 254035352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25353045209) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 261371552 + ... + 261371648.

It is an arithmetic number, because the mean of its divisors is an integer number (163869720).

Almost surely, 2^25353045200 is an apocalyptic number.

25353045200 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 25353045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39328732800).

25353045200 is an abundant number, since it is smaller than the sum of its proper divisors (53304420400).

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

25353045200 is a wasteful number, since it uses less digits than its factorization.

25353045200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 29.

The spelling of 25353045200 in words is "twenty-five billion, three hundred fifty-three million, forty-five thousand, two hundred".