12825072000 has 1152 divisors, whose sum is σ = 54510693120. Its totient is φ = 2875392000.

The previous prime is 12825071879. The next prime is 12825072059. The reversal of 12825072000 is 27052821.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 413711985 + ... + 413712015.

It is an arithmetic number, because the mean of its divisors is an integer number (47318310).

Almost surely, 2^12825072000 is an apocalyptic number.

12825072000 is a gapful number since it is divisible by the number (10) 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 12825072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27255346560).

12825072000 is an abundant number, since it is smaller than the sum of its proper divisors (41685621120).

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

12825072000 is a wasteful number, since it uses less digits than its factorization.

12825072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 12825072000 in words is "twelve billion, eight hundred twenty-five million, seventy-two thousand".