25613728283200 has 168 divisors, whose sum is σ = 63175322468000. Its totient is φ = 10221197414400.

The previous prime is 25613728283177. The next prime is 25613728283203. The reversal of 25613728283200 is 238282731652.

It is not an unprimeable number, because it can be changed into a prime (25613728283203) 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, 3387607420 + ... + 3387614980.

Almost surely, 2^{25613728283200} is an apocalyptic number.

25613728283200 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 25613728283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31587661234000).

25613728283200 is an abundant number, since it is smaller than the sum of its proper divisors (37561594184800).

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

25613728283200 is a wasteful number, since it uses less digits than its factorization.

25613728283200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12325 (or 12310 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 49.

The spelling of 25613728283200 in words is "twenty-five trillion, six hundred thirteen billion, seven hundred twenty-eight million, two hundred eighty-three thousand, two hundred".