25685786880 has 1440 divisors, whose sum is σ = 112186166400. Its totient is φ = 5541986304.

The previous prime is 25685786873. The next prime is 25685786953. The reversal of 25685786880 is 8868758652.

25685786880 is a `hidden beast` number, since 2 + 56 + 8 + 578 + 6 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 435352291 + ... + 435352349.

It is an arithmetic number, because the mean of its divisors is an integer number (77907060).

Almost surely, 2^25685786880 is an apocalyptic number.

25685786880 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 25685786880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56093083200).

25685786880 is an abundant number, since it is smaller than the sum of its proper divisors (86500379520).

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

25685786880 is a wasteful number, since it uses less digits than its factorization.

25685786880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 63.

The spelling of 25685786880 in words is "twenty-five billion, six hundred eighty-five million, seven hundred eighty-six thousand, eight hundred eighty".