25641113453800 has 384 divisors, whose sum is σ = 69464528985600. Its totient is φ = 8715937628160.

The previous prime is 25641113453731. The next prime is 25641113453801. The reversal of 25641113453800 is 835431114652.

It is not an unprimeable number, because it can be changed into a prime (25641113453801) 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, 6043154479 + ... + 6043158721.

It is an arithmetic number, because the mean of its divisors is an integer number (180897210900).

Almost surely, 2^{25641113453800} is an apocalyptic number.

25641113453800 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 25641113453800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34732264492800).

25641113453800 is an abundant number, since it is smaller than the sum of its proper divisors (43823415531800).

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

25641113453800 is a wasteful number, since it uses less digits than its factorization.

25641113453800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7245 (or 7236 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

The spelling of 25641113453800 in words is "twenty-five trillion, six hundred forty-one billion, one hundred thirteen million, four hundred fifty-three thousand, eight hundred".