25663121553312 has 360 divisors, whose sum is σ = 78419976390756. Its totient is φ = 8232544512000.

The previous prime is 25663121553269. The next prime is 25663121553317. The reversal of 25663121553312 is 21335512136652.

25663121553312 is a `hidden beast` number, since 2 + 5 + 6 + 6 + 312 + 15 + 5 + 3 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25433906585616 + 229214967696 = 5043204^2 + 478764^2 .

It is not an unprimeable number, because it can be changed into a prime (25663121553317) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 450826612 + ... + 450883532.

Almost surely, 2^{25663121553312} 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 25663121553312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39209988195378).

25663121553312 is an abundant number, since it is smaller than the sum of its proper divisors (52756854837444).

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

25663121553312 is a wasteful number, since it uses less digits than its factorization.

25663121553312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57186 (or 57138 counting only the distinct ones).

The product of its digits is 972000, while the sum is 45.

Adding to 25663121553312 its reverse (21335512136652), we get a palindrome (46998633689964).

The spelling of 25663121553312 in words is "twenty-five trillion, six hundred sixty-three billion, one hundred twenty-one million, five hundred fifty-three thousand, three hundred twelve".