25125553120 has 96 divisors (see below), whose sum is σ = 60596696160. Its totient is φ = 9841428480.

The previous prime is 25125553099. The next prime is 25125553151. The reversal of 25125553120 is 2135552152.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4839486 + ... + 4844674.

It is an arithmetic number, because the mean of its divisors is an integer number (631215585).

Almost surely, 2^25125553120 is an apocalyptic number.

25125553120 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 25125553120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30298348080).

25125553120 is an abundant number, since it is smaller than the sum of its proper divisors (35471143040).

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

25125553120 is a wasteful number, since it uses less digits than its factorization.

25125553120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5828 (or 5820 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 31.

The spelling of 25125553120 in words is "twenty-five billion, one hundred twenty-five million, five hundred fifty-three thousand, one hundred twenty".