25306222260352 has 128 divisors (see below), whose sum is σ = 55827614304000. Its totient is φ = 11329347363840.

The previous prime is 25306222260317. The next prime is 25306222260377.

25306222260352 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 726275443 + ... + 726310285.

It is an arithmetic number, because the mean of its divisors is an integer number (436153236750).

Almost surely, 2^{25306222260352} is an apocalyptic number.

25306222260352 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 25306222260352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27913807152000).

25306222260352 is an abundant number, since it is smaller than the sum of its proper divisors (30521392043648).

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

25306222260352 is a wasteful number, since it uses less digits than its factorization.

25306222260352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42634 (or 42622 counting only the distinct ones).

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

It can be divided in two parts, 2530622 and 2260352, that added together give a palindrome (4790974).

The spelling of 25306222260352 in words is "twenty-five trillion, three hundred six billion, two hundred twenty-two million, two hundred sixty thousand, three hundred fifty-two".