25323322332000 has 1536 divisors, whose sum is σ = 110094361767936. Its totient is φ = 4926210048000.

The previous prime is 25323322331953. The next prime is 25323322332029. The reversal of 25323322332000 is 23322332352.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3031639824 + ... + 3031648176.

It is an arithmetic number, because the mean of its divisors is an integer number (71676016776).

Almost surely, 2^{25323322332000} is an apocalyptic number.

25323322332000 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 25323322332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55047180883968).

25323322332000 is an abundant number, since it is smaller than the sum of its proper divisors (84771039435936).

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

25323322332000 is a wasteful number, since it uses less digits than its factorization.

25323322332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8609 (or 8591 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 30.

Adding to 25323322332000 its reverse (23322332352), we get a palindrome (25346644664352).

The spelling of 25323322332000 in words is "twenty-five trillion, three hundred twenty-three billion, three hundred twenty-two million, three hundred thirty-two thousand".