25567306560 has 280 divisors, whose sum is σ = 91894045320. Its totient is φ = 6746996736.

The previous prime is 25567306517. The next prime is 25567306591. The reversal of 25567306560 is 6560376552.

25567306560 is a `hidden beast` number, since 2 + 5 + 56 + 7 + 30 + 6 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7205972544 + 18361334016 = 84888^2 + 135504^2 .

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2509156 + ... + 2519324.

It is an arithmetic number, because the mean of its divisors is an integer number (328193019).

Almost surely, 2^25567306560 is an apocalyptic number.

25567306560 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 25567306560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45947022660).

25567306560 is an abundant number, since it is smaller than the sum of its proper divisors (66326738760).

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

25567306560 is a wasteful number, since it uses less digits than its factorization.

25567306560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10295 (or 10276 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 25567306560 in words is "twenty-five billion, five hundred sixty-seven million, three hundred six thousand, five hundred sixty".