25304211240352 has 192 divisors, whose sum is σ = 56921609727360. Its totient is φ = 10966930329600.

The previous prime is 25304211240337. The next prime is 25304211240359.

25304211240352 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (25304211240359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2756145202 + ... + 2756154382.

It is an arithmetic number, because the mean of its divisors is an integer number (296466717330).

Almost surely, 2^{25304211240352} is an apocalyptic number.

25304211240352 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 25304211240352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28460804863680).

25304211240352 is an abundant number, since it is smaller than the sum of its proper divisors (31617398487008).

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

25304211240352 is a wasteful number, since it uses less digits than its factorization.

25304211240352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12567 (or 12559 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

It can be divided in two parts, 2530421 and 1240352, that added together give a palindrome (3770773).

The spelling of 25304211240352 in words is "twenty-five trillion, three hundred four billion, two hundred eleven million, two hundred forty thousand, three hundred fifty-two".