25882812000 has 288 divisors, whose sum is σ = 92140330464. Its totient is φ = 6880896000.

The previous prime is 25882811957. The next prime is 25882812017. The reversal of 25882812000 is 21828852.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 14291095 + ... + 14292905.

It is an arithmetic number, because the mean of its divisors is an integer number (319931703).

Almost surely, 2^25882812000 is an apocalyptic number.

25882812000 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 25882812000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46070165232).

25882812000 is an abundant number, since it is smaller than the sum of its proper divisors (66257518464).

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

25882812000 is a wasteful number, since it uses less digits than its factorization.

25882812000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2239 (or 2218 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 25882812000 in words is "twenty-five billion, eight hundred eighty-two million, eight hundred twelve thousand".