25980646348800 has 1728 divisors, whose sum is σ = 110006413826400. Its totient is φ = 5811358924800.

The previous prime is 25980646348781. The next prime is 25980646348801. The reversal of 25980646348800 is 884364608952.

25980646348800 is a `hidden beast` number, since 2 + 5 + 98 + 0 + 6 + 4 + 63 + 488 + 0 + 0 = 666.

It is a super-2 number, since 2×25980646348800² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25980646348801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11136152434 + ... + 11136154766.

Almost surely, 2^{25980646348800} is an apocalyptic number.

25980646348800 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 25980646348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55003206913200).

25980646348800 is an abundant number, since it is smaller than the sum of its proper divisors (84025767477600).

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

25980646348800 is a wasteful number, since it uses less digits than its factorization.

25980646348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2421 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 25980646348800 in words is "twenty-five trillion, nine hundred eighty billion, six hundred forty-six million, three hundred forty-eight thousand, eight hundred".