25861406478336 has 3328 divisors, whose sum is σ = 102724418764800. Its totient is φ = 6302151475200.

The previous prime is 25861406478317. The next prime is 25861406478343. The reversal of 25861406478336 is 63387460416852.

It is a happy number.

25861406478336 is a `hidden beast` number, since 2 + 5 + 8 + 614 + 0 + 6 + 4 + 7 + 8 + 3 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (3328).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 241695387595 + ... + 241695387701.

Almost surely, 2^{25861406478336} is an apocalyptic number.

25861406478336 is a gapful number since it is divisible by the number (26) 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 25861406478336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51362209382400).

25861406478336 is an abundant number, since it is smaller than the sum of its proper divisors (76863012286464).

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

25861406478336 is a wasteful number, since it uses less digits than its factorization.

25861406478336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 25861406478336 in words is "twenty-five trillion, eight hundred sixty-one billion, four hundred six million, four hundred seventy-eight thousand, three hundred thirty-six".