25609215605760 has 704 divisors, whose sum is σ = 91911020544000. Its totient is φ = 6761854992384.

The previous prime is 25609215605671. The next prime is 25609215605773. The reversal of 25609215605760 is 6750651290652.

25609215605760 is a `hidden beast` number, since 2 + 5 + 6 + 0 + 9 + 2 + 1 + 5 + 60 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 25609215605697 and 25609215605706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7147420929 + ... + 7147424511.

Almost surely, 2^{25609215605760} is an apocalyptic number.

25609215605760 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 25609215605760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45955510272000).

25609215605760 is an abundant number, since it is smaller than the sum of its proper divisors (66301804938240).

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

25609215605760 is a wasteful number, since it uses less digits than its factorization.

25609215605760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4113 (or 4089 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 25609215605760 in words is "twenty-five trillion, six hundred nine billion, two hundred fifteen million, six hundred five thousand, seven hundred sixty".