25655242613000 has 2048 divisors, whose sum is σ = 89270570188800. Its totient is φ = 6633487872000.

The previous prime is 25655242612973. The next prime is 25655242613003. The reversal of 25655242613000 is 31624255652.

It is not an unprimeable number, because it can be changed into a prime (25655242613003) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 97548450869 + ... + 97548451131.

It is an arithmetic number, because the mean of its divisors is an integer number (43589145600).

Almost surely, 2^{25655242613000} is an apocalyptic number.

25655242613000 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 25655242613000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44635285094400).

25655242613000 is an abundant number, since it is smaller than the sum of its proper divisors (63615327575800).

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

25655242613000 is a wasteful number, since it uses less digits than its factorization.

25655242613000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 41.

Adding to 25655242613000 its reverse (31624255652), we get a palindrome (25686866868652).

The spelling of 25655242613000 in words is "twenty-five trillion, six hundred fifty-five billion, two hundred forty-two million, six hundred thirteen thousand".