25323422432352 has 1152 divisors, whose sum is σ = 85602107695104. Its totient is φ = 6503473152000.

The previous prime is 25323422432333. The next prime is 25323422432519.

25323422432352 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5209506402 + ... + 5209511262.

It is an arithmetic number, because the mean of its divisors is an integer number (74307385152).

Almost surely, 2^{25323422432352} is an apocalyptic number.

25323422432352 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 25323422432352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42801053847552).

25323422432352 is an abundant number, since it is smaller than the sum of its proper divisors (60278685262752).

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

25323422432352 is a wasteful number, since it uses less digits than its factorization.

25323422432352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5004 (or 4985 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 42.

It can be divided in two parts, 2532342 and 2432352, that added together give a palindrome (4964694).

The spelling of 25323422432352 in words is "twenty-five trillion, three hundred twenty-three billion, four hundred twenty-two million, four hundred thirty-two thousand, three hundred fifty-two".