25824936900 has 144 divisors (see below), whose sum is σ = 85494528000. Its totient is φ = 5895926400.

The previous prime is 25824936883. The next prime is 25824936901. The reversal of 25824936900 is 963942852.

It is a happy number.

It is a super-2 number, since 2×25824936900² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 25824936900.

It is not an unprimeable number, because it can be changed into a prime (25824936901) 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 47 ways as a sum of consecutive naturals, for example, 1906351 + ... + 1919849.

It is an arithmetic number, because the mean of its divisors is an integer number (593712000).

Almost surely, 2^25824936900 is an apocalyptic number.

25824936900 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 25824936900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42747264000).

25824936900 is an abundant number, since it is smaller than the sum of its proper divisors (59669591100).

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

25824936900 is a wasteful number, since it uses less digits than its factorization.

25824936900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14434 (or 14427 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 25824936900 in words is "twenty-five billion, eight hundred twenty-four million, nine hundred thirty-six thousand, nine hundred".