25269352884468 has 768 divisors, whose sum is σ = 90357922529280. Its totient is φ = 5911324531200.

The previous prime is 25269352884467. The next prime is 25269352884481. The reversal of 25269352884468 is 86448825396252.

25269352884468 is a `hidden beast` number, since 2 + 5 + 2 + 6 + 93 + 528 + 8 + 4 + 4 + 6 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 25269352884396 and 25269352884405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25269352884463) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 219326805 + ... + 219441987.

It is an arithmetic number, because the mean of its divisors is an integer number (117653544960).

Almost surely, 2^{25269352884468} is an apocalyptic number.

25269352884468 is a gapful number since it is divisible by the number (28) 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 25269352884468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45178961264640).

25269352884468 is an abundant number, since it is smaller than the sum of its proper divisors (65088569644812).

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

25269352884468 is a wasteful number, since it uses less digits than its factorization.

25269352884468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115305 (or 115297 counting only the distinct ones).

The product of its digits is 1592524800, while the sum is 72.

The spelling of 25269352884468 in words is "twenty-five trillion, two hundred sixty-nine billion, three hundred fifty-two million, eight hundred eighty-four thousand, four hundred sixty-eight".