25836828864 has 448 divisors, whose sum is σ = 88396876800. Its totient is φ = 6465208320.

The previous prime is 25836828851. The next prime is 25836828869. The reversal of 25836828864 is 46882863852.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 25836828798 and 25836828807.

It is not an unprimeable number, because it can be changed into a prime (25836828869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81504034 + ... + 81504350.

Almost surely, 2^25836828864 is an apocalyptic number.

25836828864 is a gapful number since it is divisible by the number (24) 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 25836828864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44198438400).

25836828864 is an abundant number, since it is smaller than the sum of its proper divisors (62560047936).

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

25836828864 is a wasteful number, since it uses less digits than its factorization.

25836828864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 526 counting only the distinct ones).

The product of its digits is 35389440, while the sum is 60.

The spelling of 25836828864 in words is "twenty-five billion, eight hundred thirty-six million, eight hundred twenty-eight thousand, eight hundred sixty-four".