25806010580 has 96 divisors (see below), whose sum is σ = 65847043584. Its totient is φ = 8303353344.

The previous prime is 25806010547. The next prime is 25806010589. The reversal of 25806010580 is 8501060852.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 25806010580.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25806010589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95054 + ... + 246266.

It is an arithmetic number, because the mean of its divisors is an integer number (685906704).

Almost surely, 2^25806010580 is an apocalyptic number.

25806010580 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 25806010580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32923521792).

25806010580 is an abundant number, since it is smaller than the sum of its proper divisors (40041033004).

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

25806010580 is a wasteful number, since it uses less digits than its factorization.

25806010580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151305 (or 151303 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 35.

The spelling of 25806010580 in words is "twenty-five billion, eight hundred six million, ten thousand, five hundred eighty".