25895667560 has 32 divisors (see below), whose sum is σ = 66588860160. Its totient is φ = 8878514496.

The previous prime is 25895667529. The next prime is 25895667563. The reversal of 25895667560 is 6576659852.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 25895667560.

It is not an unprimeable number, because it can be changed into a prime (25895667563) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 46241984 + ... + 46242543.

It is an arithmetic number, because the mean of its divisors is an integer number (2080901880).

Almost surely, 2^25895667560 is an apocalyptic number.

25895667560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25895667560 is an abundant number, since it is smaller than the sum of its proper divisors (40693192600).

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

25895667560 is a wasteful number, since it uses less digits than its factorization.

25895667560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92484545 (or 92484541 counting only the distinct ones).

The product of its (nonzero) digits is 27216000, while the sum is 59.

The spelling of 25895667560 in words is "twenty-five billion, eight hundred ninety-five million, six hundred sixty-seven thousand, five hundred sixty".