25981705800 has 672 divisors, whose sum is σ = 97339082400. Its totient is φ = 6427330560.

The previous prime is 25981705787. The next prime is 25981705801. The reversal of 25981705800 is 850718952.

It is a happy number.

25981705800 is a `hidden beast` number, since 2 + 59 + 8 + 17 + 0 + 580 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (25981705801) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 229926544 + ... + 229926656.

It is an arithmetic number, because the mean of its divisors is an integer number (144849825).

Almost surely, 2^25981705800 is an apocalyptic number.

25981705800 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 25981705800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48669541200).

25981705800 is an abundant number, since it is smaller than the sum of its proper divisors (71357376600).

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

25981705800 is a wasteful number, since it uses less digits than its factorization.

25981705800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 25981705800 in words is "twenty-five billion, nine hundred eighty-one million, seven hundred five thousand, eight hundred".