25321433412352 has 432 divisors, whose sum is σ = 65463738342912. Its totient is φ = 9496125112320.

The previous prime is 25321433412313. The next prime is 25321433412421.

25321433412352 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5851958413 + ... + 5851962739.

Almost surely, 2^{25321433412352} is an apocalyptic number.

25321433412352 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 25321433412352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32731869171456).

25321433412352 is an abundant number, since it is smaller than the sum of its proper divisors (40142304930560).

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

25321433412352 is a wasteful number, since it uses less digits than its factorization.

25321433412352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4772 (or 4729 counting only the distinct ones).

The product of its digits is 518400, while the sum is 40.

It can be divided in two parts, 2532143 and 3412352, that added together give a palindrome (5944495).

The spelling of 25321433412352 in words is "twenty-five trillion, three hundred twenty-one billion, four hundred thirty-three million, four hundred twelve thousand, three hundred fifty-two".