25449112389120 has 640 divisors, whose sum is σ = 93706459545600. Its totient is φ = 5771668193280.

The previous prime is 25449112389053. The next prime is 25449112389133. The reversal of 25449112389120 is 2198321194452.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×25449112389120² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4097422815 + ... + 4097429025.

It is an arithmetic number, because the mean of its divisors is an integer number (146416343040).

Almost surely, 2^{25449112389120} is an apocalyptic number.

25449112389120 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 25449112389120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46853229772800).

25449112389120 is an abundant number, since it is smaller than the sum of its proper divisors (68257347156480).

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

25449112389120 is a wasteful number, since it uses less digits than its factorization.

25449112389120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6826 (or 6810 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 25449112389120 in words is "twenty-five trillion, four hundred forty-nine billion, one hundred twelve million, three hundred eighty-nine thousand, one hundred twenty".