25820840864 has 288 divisors, whose sum is σ = 67924195920. Its totient is φ = 9543647232.

The previous prime is 25820840839. The next prime is 25820840897. The reversal of 25820840864 is 46804802852.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2199610000 + 23621230864 = 46900^2 + 153692^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93215894 + ... + 93216170.

Almost surely, 2^25820840864 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 25820840864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33962097960).

25820840864 is an abundant number, since it is smaller than the sum of its proper divisors (42103355056).

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

25820840864 is a wasteful number, since it uses less digits than its factorization.

25820840864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 47.

The spelling of 25820840864 in words is "twenty-five billion, eight hundred twenty million, eight hundred forty thousand, eight hundred sixty-four".