25958230341120 has 1600 divisors, whose sum is σ = 118285054272000. Its totient is φ = 5393755422720.

The previous prime is 25958230341101. The next prime is 25958230341191. The reversal of 25958230341120 is 2114303285952.

25958230341120 is a `hidden beast` number, since 2 + 5 + 9 + 58 + 230 + 341 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 782352691 + ... + 782385869.

It is an arithmetic number, because the mean of its divisors is an integer number (73928158920).

Almost surely, 2^{25958230341120} is an apocalyptic number.

25958230341120 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 25958230341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59142527136000).

25958230341120 is an abundant number, since it is smaller than the sum of its proper divisors (92326823930880).

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

25958230341120 is an equidigital number, since it uses as much as digits as its factorization.

25958230341120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33246 (or 33207 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 25958230341120 in words is "twenty-five trillion, nine hundred fifty-eight billion, two hundred thirty million, three hundred forty-one thousand, one hundred twenty".