25332000000000 has 480 divisors, whose sum is σ = 84459366351360. Its totient is φ = 6752000000000.

The previous prime is 25331999999959. The next prime is 25332000000001. The reversal of 25332000000000 is 23352.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25332000000001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11999998945 + ... + 12000001055.

It is an arithmetic number, because the mean of its divisors is an integer number (175957013232).

Almost surely, 2^{25332000000000} is an apocalyptic number.

25332000000000 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 25332000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42229683175680).

25332000000000 is an abundant number, since it is smaller than the sum of its proper divisors (59127366351360).

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

25332000000000 is an frugal number, since it uses more digits than its factorization.

25332000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2181 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

Adding to 25332000000000 its reverse (23352), we get a palindrome (25332000023352).

The spelling of 25332000000000 in words is "twenty-five trillion, three hundred thirty-two billion", and thus it is an aban number.