25353466435352 has 256 divisors, whose sum is σ = 56829869568000. Its totient is φ = 10482683904000.

The previous prime is 25353466435343. The next prime is 25353466435379.

25353466435352 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 63 ways as a sum of consecutive naturals, for example, 1144150049 + ... + 1144172207.

It is an arithmetic number, because the mean of its divisors is an integer number (221991678000).

Almost surely, 2^{25353466435352} is an apocalyptic number.

25353466435352 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 25353466435352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28414934784000).

25353466435352 is an abundant number, since it is smaller than the sum of its proper divisors (31476403132648).

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

25353466435352 is a wasteful number, since it uses less digits than its factorization.

25353466435352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22522 (or 22518 counting only the distinct ones).

The product of its digits is 116640000, while the sum is 56.

The spelling of 25353466435352 in words is "twenty-five trillion, three hundred fifty-three billion, four hundred sixty-six million, four hundred thirty-five thousand, three hundred fifty-two".