25953120 has 144 divisors (see below), whose sum is σ = 90221040. Its totient is φ = 6792192.

The previous prime is 25953119. The next prime is 25953157. The reversal of 25953120 is 2135952.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96346 + ... + 96614.

It is an arithmetic number, because the mean of its divisors is an integer number (626535).

Almost surely, 2^25953120 is an apocalyptic number.

25953120 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 25953120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45110520).

25953120 is an abundant number, since it is smaller than the sum of its proper divisors (64267920).

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

25953120 is a wasteful number, since it uses less digits than its factorization.

25953120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 25953120 is about 5094.4204773458. The cubic root of 25953120 is about 296.0714461088.

The spelling of 25953120 in words is "twenty-five million, nine hundred fifty-three thousand, one hundred twenty".