25606648320 has 320 divisors, whose sum is σ = 90785439360. Its totient is φ = 6104678400.

The previous prime is 25606648283. The next prime is 25606648337. The reversal of 25606648320 is 2384660652.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5150796 + ... + 5155764.

It is an arithmetic number, because the mean of its divisors is an integer number (283704498).

Almost surely, 2^25606648320 is an apocalyptic number.

25606648320 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 25606648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45392719680).

25606648320 is an abundant number, since it is smaller than the sum of its proper divisors (65178791040).

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

25606648320 is a wasteful number, since it uses less digits than its factorization.

25606648320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5067 (or 5051 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 25606648320 in words is "twenty-five billion, six hundred six million, six hundred forty-eight thousand, three hundred twenty".