25643125203696 has 1080 divisors, whose sum is σ = 100324747242720. Its totient is φ = 5949519206400.

The previous prime is 25643125203679. The next prime is 25643125203733. The reversal of 25643125203696 is 69630252134652.

25643125203696 is a `hidden beast` number, since 2 + 5 + 6 + 43 + 12 + 520 + 3 + 69 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1523737810 + ... + 1523754638.

It is an arithmetic number, because the mean of its divisors is an integer number (92893284484).

Almost surely, 2^{25643125203696} is an apocalyptic number.

25643125203696 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 25643125203696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50162373621360).

25643125203696 is an abundant number, since it is smaller than the sum of its proper divisors (74681622039024).

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

25643125203696 is a wasteful number, since it uses less digits than its factorization.

25643125203696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16947 (or 16896 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 25643125203696 in words is "twenty-five trillion, six hundred forty-three billion, one hundred twenty-five million, two hundred three thousand, six hundred ninety-six".