25830641200 has 240 divisors, whose sum is σ = 77433474496. Its totient is φ = 8062156800.

The previous prime is 25830641191. The next prime is 25830641203. The reversal of 25830641200 is 214603852.

It is not an unprimeable number, because it can be changed into a prime (25830641203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2652340 + ... + 2662060.

Almost surely, 2^25830641200 is an apocalyptic number.

25830641200 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 25830641200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38716737248).

25830641200 is an abundant number, since it is smaller than the sum of its proper divisors (51602833296).

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

25830641200 is a wasteful number, since it uses less digits than its factorization.

25830641200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9832 (or 9821 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 25830641200 in words is "twenty-five billion, eight hundred thirty million, six hundred forty-one thousand, two hundred".