25861086535680 has 1120 divisors, whose sum is σ = 101389898320128. Its totient is φ = 6253844889600.

The previous prime is 25861086535663. The next prime is 25861086535681. The reversal of 25861086535680 is 8653568016852.

25861086535680 is a `hidden beast` number, since 2 + 5 + 8 + 6 + 1 + 0 + 8 + 65 + 3 + 568 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25861086535681) 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 79 ways as a sum of consecutive naturals, for example, 23028571599 + ... + 23028572721.

Almost surely, 2^{25861086535680} is an apocalyptic number.

25861086535680 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 25861086535680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50694949160064).

25861086535680 is an abundant number, since it is smaller than the sum of its proper divisors (75528811784448).

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

25861086535680 is a wasteful number, since it uses less digits than its factorization.

25861086535680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 63.

The spelling of 25861086535680 in words is "twenty-five trillion, eight hundred sixty-one billion, eighty-six million, five hundred thirty-five thousand, six hundred eighty".