25105861872 has 840 divisors, whose sum is σ = 95175991680. Its totient is φ = 6348948480.

The previous prime is 25105861849. The next prime is 25105861901. The reversal of 25105861872 is 27816850152.

25105861872 is a `hidden beast` number, since 2 + 51 + 0 + 586 + 18 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 230328954 + ... + 230329062.

It is an arithmetic number, because the mean of its divisors is an integer number (113304752).

Almost surely, 2^25105861872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25105861872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47587995840).

25105861872 is an abundant number, since it is smaller than the sum of its proper divisors (70070129808).

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

25105861872 is a wasteful number, since it uses less digits than its factorization.

25105861872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 25105861872 in words is "twenty-five billion, one hundred five million, eight hundred sixty-one thousand, eight hundred seventy-two".