25323355332352 has 216 divisors, whose sum is σ = 65049481026432. Its totient is φ = 9727277414400.

The previous prime is 25323355332307. The next prime is 25323355332413.

25323355332352 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8504443 + ... + 11089285.

It is an arithmetic number, because the mean of its divisors is an integer number (301155004752).

Almost surely, 2^{25323355332352} is an apocalyptic number.

25323355332352 is a gapful number since it is divisible by the number (22) 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 25323355332352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32524740513216).

25323355332352 is an abundant number, since it is smaller than the sum of its proper divisors (39726125694080).

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

25323355332352 is a wasteful number, since it uses less digits than its factorization.

25323355332352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2584955 (or 2584934 counting only the distinct ones).

The product of its digits is 7290000, while the sum is 46.

It can be divided in two parts, 2532335 and 5332352, that added together give a palindrome (7864687).

The spelling of 25323355332352 in words is "twenty-five trillion, three hundred twenty-three billion, three hundred fifty-five million, three hundred thirty-two thousand, three hundred fifty-two".