25442344324452 has 96 divisors (see below), whose sum is σ = 65652233923584. Its totient is φ = 7604441008000.

The previous prime is 25442344324447. The next prime is 25442344324457.

25442344324452 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (25442344324447) and next prime (25442344324457).

It is not an unprimeable number, because it can be changed into a prime (25442344324457) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121758 + ... + 7134389.

It is an arithmetic number, because the mean of its divisors is an integer number (683877436704).

Almost surely, 2^{25442344324452} is an apocalyptic number.

25442344324452 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 25442344324452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32826116961792).

25442344324452 is an abundant number, since it is smaller than the sum of its proper divisors (40209889599132).

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

25442344324452 is a wasteful number, since it uses less digits than its factorization.

25442344324452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7256529 (or 7256527 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 48.

It can be divided in two parts, 2544234 and 4324452, that added together give a palindrome (6868686).

The spelling of 25442344324452 in words is "twenty-five trillion, four hundred forty-two billion, three hundred forty-four million, three hundred twenty-four thousand, four hundred fifty-two".