25864320000 has 440 divisors, whose sum is σ = 90806557600. Its totient is φ = 6524928000.

The previous prime is 25864319963. The next prime is 25864320017. The reversal of 25864320000 is 2346852.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 25864320000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36479646 + ... + 36480354.

It is an arithmetic number, because the mean of its divisors is an integer number (206378540).

Almost surely, 2^25864320000 is an apocalyptic number.

25864320000 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 25864320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45403278800).

25864320000 is an abundant number, since it is smaller than the sum of its proper divisors (64942237600).

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

25864320000 is an equidigital number, since it uses as much as digits as its factorization.

25864320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 25864320000 its reverse (2346852), we get a palindrome (25866666852).

The spelling of 25864320000 in words is "twenty-five billion, eight hundred sixty-four million, three hundred twenty thousand".