25896705120 has 576 divisors, whose sum is σ = 109303084800. Its totient is φ = 5489233920.

The previous prime is 25896705119. The next prime is 25896705143. The reversal of 25896705120 is 2150769852.

25896705120 is a `hidden beast` number, since 2 + 589 + 67 + 0 + 5 + 1 + 2 + 0 = 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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3909171 + ... + 3915789.

It is an arithmetic number, because the mean of its divisors is an integer number (189762300).

Almost surely, 2^25896705120 is an apocalyptic number.

25896705120 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 25896705120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54651542400).

25896705120 is an abundant number, since it is smaller than the sum of its proper divisors (83406379680).

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

25896705120 is a wasteful number, since it uses less digits than its factorization.

25896705120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6683 (or 6672 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 25896705120 in words is "twenty-five billion, eight hundred ninety-six million, seven hundred five thousand, one hundred twenty".