25145556298668 has 288 divisors, whose sum is σ = 69344612937600. Its totient is φ = 7636797407232.

The previous prime is 25145556298661. The next prime is 25145556298691. The reversal of 25145556298668 is 86689265554152.

25145556298668 is a `hidden beast` number, since 2 + 5 + 1 + 4 + 5 + 556 + 2 + 9 + 8 + 6 + 68 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 25145556298596 and 25145556298605.

It is not an unprimeable number, because it can be changed into a prime (25145556298661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27361867113 + ... + 27361868031.

Almost surely, 2^{25145556298668} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25145556298668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34672306468800).

25145556298668 is an abundant number, since it is smaller than the sum of its proper divisors (44199056638932).

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

25145556298668 is a wasteful number, since it uses less digits than its factorization.

25145556298668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2521 (or 2516 counting only the distinct ones).

The product of its digits is 1244160000, while the sum is 72.

The spelling of 25145556298668 in words is "twenty-five trillion, one hundred forty-five billion, five hundred fifty-six million, two hundred ninety-eight thousand, six hundred sixty-eight".