25548255284552 has 512 divisors, whose sum is σ = 69114461552640. Its totient is φ = 8528965632000.

The previous prime is 25548255284521. The next prime is 25548255284557.

It is a happy number.

25548255284552 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (25548255284557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1442336048 + ... + 1442353760.

It is an arithmetic number, because the mean of its divisors is an integer number (134989182720).

Almost surely, 2^{25548255284552} is an apocalyptic number.

25548255284552 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 25548255284552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34557230776320).

25548255284552 is an abundant number, since it is smaller than the sum of its proper divisors (43566206268088).

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

25548255284552 is a wasteful number, since it uses less digits than its factorization.

25548255284552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18005 (or 18001 counting only the distinct ones).

The product of its digits is 256000000, while the sum is 62.

The spelling of 25548255284552 in words is "twenty-five trillion, five hundred forty-eight billion, two hundred fifty-five million, two hundred eighty-four thousand, five hundred fifty-two".