25442011024452 has 144 divisors (see below), whose sum is σ = 70860110053824. Its totient is φ = 7632590880000.

The previous prime is 25442011024433. The next prime is 25442011024483.

25442011024452 is a `hidden beast` number, since 2 + 5 + 4 + 4 + 201 + 1 + 0 + 2 + 445 + 2 = 666.

25442011024452 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 484205302 + ... + 484257842.

It is an arithmetic number, because the mean of its divisors is an integer number (492084097596).

Almost surely, 2^{25442011024452} is an apocalyptic number.

25442011024452 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 25442011024452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35430055026912).

25442011024452 is an abundant number, since it is smaller than the sum of its proper divisors (45418099029372).

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

25442011024452 is a wasteful number, since it uses less digits than its factorization.

25442011024452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64770 (or 64765 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

It can be divided in two parts, 2544201 and 1024452, that added together give a palindrome (3568653).

The spelling of 25442011024452 in words is "twenty-five trillion, four hundred forty-two billion, eleven million, twenty-four thousand, four hundred fifty-two".